Search Results - "Abstract interpolation of topological vector spaces"

Lorentz–Shimogaki and Arazy–Cwikel theorems revisited: Lorentz-Shimogaki and Arazy-Cwikel theorems revisited

Authors: Cadilhac, Léonard Sukochev, Fedor Zanin, Dmitriy

Source: Pacific Journal of Mathematics. 328:227-254

Subject Terms: symmetric function spaces, Interpolation between normed linear spaces, Abstract interpolation of topological vector spaces, \(L_p\)-spaces, majorization, interpolation, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

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Access URL: https://zbmath.org/7842504
https://doi.org/10.2140/pjm.2024.328.227

Integral representations and transforms of N-functions. II: Integral representations and transforms of \(N\)-functions. I

Authors: A. E. Mamontov

Source: Siberian Mathematical Journal. 47:669-686

Subject Terms: Laplace transform, 4. Education, 0102 computer and information sciences, 16. Peace & justice, 01 natural sciences, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), extrapolation of operators, convolution type integral transform, \(N\)-function, Young function, Abstract interpolation of topological vector spaces, Linear operators on function spaces (general), Special integral transforms (Legendre, Hilbert, etc.), 0101 mathematics, Orlicz space, Mellin transform

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Access URL: https://zbmath.org/5169464
https://link.springer.com/content/pdf/10.1007/s11202-006-0012-y.pdf
https://link.springer.com/article/10.1007/s11202-006-0012-y

Limits of higher-order Besov spaces and sharp reiteration theorems

Authors: Jie Xiao Mario Milman G.E. Karadzhov

Source: Journal of Functional Analysis. 221:323-339

Subject Terms: Sobolev spaces, Besov spaces, Interpolation between normed linear spaces, Abstract interpolation of topological vector spaces, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, 01 natural sciences, Analysis, Embeddings, Interpolation

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Access URL: https://core.ac.uk/display/82383753
https://www.sciencedirect.com/science/article/pii/S0022123604003234

Entropy function spaces and interpolation

Authors: Cerdà Martín, Joan Lluís Coll, Heribert Martín i Pedret, Joaquim

Source: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

Subject Terms: Applied Mathematics, Entropy, Interpolation between normed linear spaces, Banach function space, 01 natural sciences, \(K\)-functional, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), real interpolation, Lorentz space, Real interpolation, Abstract interpolation of topological vector spaces, Calderón couple, 0101 mathematics, entropy, Marcinkiewicz space, K-functional, Analysis

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Access URL: https://zbmath.org/2157567
https://doi.org/10.1016/j.jmaa.2004.09.026
http://ui.adsabs.harvard.edu/abs/2005JMAA..304..269C/abstract
https://www.sciencedirect.com/science/article/pii/S0022247X04007656
https://core.ac.uk/display/82458316
https://ddd.uab.cat/record/271867

New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications: New function spaces of BMO type, the John-Nirenberg inequality, interpolation, and applications

Authors: Lixin Yan Xuan Thinh Duong

Source: Communications on Pure and Applied Mathematics. 58:1375-1420

Subject Terms: Singular and oscillatory integrals (Calderón-Zygmund, etc.), Banach spaces of continuous, differentiable or analytic functions, Interpolation between normed linear spaces, Abstract interpolation of topological vector spaces, Functions of bounded variation, generalizations, Inequalities for sums, series and integrals, 0101 mathematics, 01 natural sciences

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Access URL: https://researchers.mq.edu.au/en/publications/new-function-spaces-of-bmo-type-the-john-nirenberg-inequality-int
https://core.ac.uk/display/45577242
https://onlinelibrary.wiley.com/doi/abs/10.1002/cpa.20080
https://onlinelibrary.wiley.com/doi/10.1002/cpa.20080/abstract

Extrapolation functors on a family of scales generated by the real interpolation method

Authors: Sergey V. Astashkin

Source: Siberian Mathematical Journal. 46:205-225

Subject Terms: Interpolation between normed linear spaces, Abstract interpolation of topological vector spaces, operator extrapolation, rearrangement invariant space, operator interpolation, 0101 mathematics, extrapolation functor, real interpolation method, 01 natural sciences, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

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Access URL: https://zbmath.org/5066512
https://link.springer.com/content/pdf/10.1007/s11202-005-0021-2.pdf
https://link.springer.com/article/10.1007/s11202-005-0021-2

Function cones and interpolation

Authors: Joan Cerdà Heribert Coll

Source: Mathematische Nachrichten. 278:227-239

Subject Terms: real interpolation, function cone, Interpolation between normed linear spaces, Abstract interpolation of topological vector spaces, linear and bilinear operators, Banach function space, Positive linear operators and order-bounded operators, 0101 mathematics, K-functional, 01 natural sciences, level set, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

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Access URL: https://zbmath.org/2159839
https://doi.org/10.1002/mana.200310237
https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.200310237

Weak-type operators and the strong fundamental lemma of real interpolation theory

Authors: Natan Krugljak Y. Sagher P. Shvartsman

Source: Studia Mathematica. 170:173-201

Subject Terms: weak-type operators, Interpolation between normed linear spaces, Abstract interpolation of topological vector spaces, strong fundamental lemma, 0101 mathematics, interpolation theory, 01 natural sciences

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/89902?download.pdf
http://www.diva-portal.org/smash/record.jsf?pid=diva2:978426
https://dialnet.unirioja.es/servlet/articulo?codigo=1199820
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm170-2-4

Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces

Authors: Dragicevic, O. Grafakos, Loukas Pereyra, M. C. et al.

Source: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
instname
Publicacions Matemàtiques; Vol. 49, Núm. 1 (2005); p. 73-91

Subject Terms: Singular and oscillatory integrals (Calderón-Zygmund, etc.), Maximal functions, Littlewood-Paley theory, dyadic paraproduct, Beurling transform, extrapolation, Extrapolation, Sharp weighted estimates, dyadic square function, Hilbert transform, Conjugate functions, conjugate series, singular integrals, Abstract interpolation of topological vector spaces, Linear operators on function spaces (general), Dyadic square function, Dyadic paraproduct, sharp weighted estimates, Special integral transforms (Legendre, Hilbert, etc.), martingale transform, Martingale transform

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Access URL: http://math.missouri.edu/%7Eloukas/preprints/DGPP.pdf
http://hdl.handle.net/2072/380067
https://ddd.uab.cat/record/2055
http://mat.uab.cat/pubmat/articles/view_doi/10.5565/PUBLMAT_49105_03
https://ddd.uab.cat/record/2055
https://eudml.org/doc/41557
https://dialnet.unirioja.es/servlet/articulo?codigo=1294412
https://faculty.missouri.edu/~grafakosl/preprints/DGPP.pdf
http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/10.5565-PUBLMAT_49105_03

Intersection properties for cones of nondecreasing concave functions

Authors: Inna Kozlov

Source: Studia Mathematica. 166:263-269

Subject Terms: real interpolation, cone of concave functions, couple of Banach lattices, K-functional, Interpolation between normed linear spaces, Abstract interpolation of topological vector spaces, 0101 mathematics, 01 natural sciences

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/89579?download.pdf
https://zbmath.org/2120167
https://doi.org/10.4064/sm166-3-4
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/166/3/89579/intersection-properties-for-cones-of-nondecreasing-concave-functions
https://www.impan.pl/en/publishing-house/journals-and-series/studia-mathematica/all/166/3/89579/intersection-properties-for-cones-of-nondecreasing-concave-functions
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm166-3-4
https://www.impan.pl/shop/publication/transaction/download/product/89579?download.pdf

Interpolation orbits in couples of Lebesgue spaces

Authors: Vladimir I. Ovchinnikov

Source: Functional Analysis and Its Applications. 39:46-56

Subject Terms: space of measurable functions, interpolation space, 46B70, 46E30, 01 natural sciences, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA), Mathematics - Functional Analysis, weighted \(L_p\)-spaces, Abstract interpolation of topological vector spaces, interpolation orbit, FOS: Mathematics, 0101 mathematics

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Access URL: http://arxiv.org/pdf/math/0212229
http://arxiv.org/abs/math/0212229
https://zbmath.org/2227985
https://doi.org/10.1007/s10688-005-0016-6
https://link.springer.com/article/10.1007/s10688-005-0016-6

Real interpolation of Banach algebras and factorization of weakly compact homomorphisms

Authors: Blanco, Ariel Kaijser, S. Ransford, T.J.

Source: Journal of Functional Analysis. 217:126-141

Subject Terms: Real interpolation method, name=Analysis, real interpolation method, 01 natural sciences, weakly compact homomorphism, Weakly compact homomorphism, factorization, Abstract interpolation of topological vector spaces, Banach algebra, General theory of topological algebras, Factorization, 0101 mathematics, Analysis

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Access URL: https://pure.qub.ac.uk/portal/en/publications/real-interpolation-of-banach-algebras-and-factorization-of-weakly-compact-homomorphisms(f582e327-2d93-4b3e-8b58-533556c0e11e)/export.html
https://www.sciencedirect.com/science/article/pii/S0022123604001090
http://www.diva-portal.org/smash/record.jsf?pid=diva2:99024
https://core.ac.uk/display/10045504
http://pure.qub.ac.uk/portal/en/publications/real-interpolation-of-banach-algebras-and-factorization-of-weakly-compact-homomorphisms(f582e327-2d93-4b3e-8b58-533556c0e11e)/export.html

Subcouples of codimension one and interpolation of operators that almost agree

Authors: Peter Sunehag

Source: Journal of Approximation Theory. 130:78-98

Subject Terms: Subspace, Mathematics(all), Numerical Analysis, Banach space, Subcouple, Quotient couple, Applied Mathematics, Interpolation between normed linear spaces, Banach couple, 01 natural sciences, Interpolation, Abstract interpolation of topological vector spaces, subcouple, subspace, quotient couple, 0101 mathematics, interpolation theory, Analysis

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Access URL: https://zbmath.org/2107877
https://doi.org/10.1016/j.jat.2004.06.009
https://core.ac.uk/display/81975430
https://www.sciencedirect.com/science/article/pii/S0021904504001157
https://www.sciencedirect.com/science/article/abs/pii/S0021904504001157
https://dialnet.unirioja.es/servlet/articulo?codigo=1363764
http://www.diva-portal.org/smash/record.jsf?pid=diva2:99029
https://dblp.uni-trier.de/db/journals/jat/jat130.html#Sunehag04

Interpolation of several multiparametric approximation spaces

Authors: I. Asekritova Yu. A. Brudnyi

Source: Journal of Approximation Theory. 129:182-206

Subject Terms: Mathematics(all), Numerical Analysis, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Applied Mathematics, Interpolation between normed linear spaces, Abstract interpolation of topological vector spaces, anisotropic Besov space, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory, Analysis, interpolation of linear operators

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Access URL: https://dblp.uni-trier.de/db/journals/jat/jat129.html#AsekritovaB04
http://www.diva-portal.org/smash/record.jsf?pid=diva2:714479
http://www.sciencedirect.com/science/article/pii/S0021904504000875
http://lnu.diva-portal.org/smash/record.jsf?pid=diva2:344839
https://core.ac.uk/display/82666837
https://dialnet.unirioja.es/servlet/articulo?codigo=949573

Endpoint estimates from restricted rearrangement inequalities: Endpoint estimates from restricted rearrangement inequalities.

Authors: Carro, María J. Martín, Joaquim

Source: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Rev. Mat. Iberoamericana 20, no. 1 (2004), 131-150

Subject Terms: 46M35, Banach couples, Rearrangement inequality, Convergence and absolute convergence of Fourier and trigonometric series, Interpolation between normed linear spaces, Norms (inequalities, more than one norm, etc.) of linear operators, 01 natural sciences, real interpolation, extrapolation theory, rearrangement inequality, Real interpolation, 47A30, Abstract interpolation of topological vector spaces, Extrapolation theory, Carleson's operator, 0101 mathematics

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Access URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0213-2230&vol=20&iss=1&rank=6
https://projecteuclid.org/download/pdf_1/euclid.rmi/1080928423
https://documat.unirioja.es/servlet/articulo?codigo=892897
https://dialnet.unirioja.es/servlet/articulo?codigo=892897
https://www.ems-ph.org/journals/show_pdf.php?issn=0213-2230&vol=20&iss=1&rank=6
https://projecteuclid.org/journals/revista-matematica-iberoamericana/volume-20/issue-1/Endpoint-estimates-from-restricted-rearrangement-inequalities/rmi/1080928423.full
https://www.ems-ph.org/journals/show_abstract.php?issn=0213-2230&vol=20&iss=1&rank=6
https://ddd.uab.cat/record/271880
http://projecteuclid.org/euclid.rmi/1080928423

Application of Interpolational Methods to the Study of Properties of Functions of Several Variables: Application of interpolational methods to the study of properties of functions of several variables

Authors: Erlan Nursultanov

Source: Mathematical Notes. 75:341-351

Subject Terms: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Banach space, Fourier series and coefficients in several variables, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Abstract interpolation of topological vector spaces, Fourier transform, Inequalities for trigonometric functions and polynomials, Hardy--Littlewood--Paley inequality, function of several variables, interpolation theorem, 0101 mathematics, Multipliers for harmonic analysis in several variables, 01 natural sciences

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Access URL: https://zbmath.org/2121363
https://doi.org/10.1023/b:matn.0000023313.03814.2d
http://repository.enu.kz/bitstream/handle/123456789/7524/Application-of-Interpolational.pdf
https://link.springer.com/content/pdf/10.1023/B:MATN.0000023313.03814.2d.pdf
http://www.enu.kz/downloads/lichnie-stranici/nursultanov36.PDF
https://link.springer.com/article/10.1023/B%3AMATN.0000023313.03814.2d
https://www.enu.kz/downloads/lichnie-stranici/nursultanov36.PDF

Real interpolation and closed operator ideals☆☆Authors have been supported in part by Ministerio de Ciencia y Tecnologı́a (BFM2001-1424): Real interpolation and closed operator ideals.

Authors: Antonio Manzano Fernando Cobos Antón Martínez et al.

Source: Journal de Mathématiques Pures et Appliquées. 83:417-432

Subject Terms: Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Rosenthal operators, Mathematics(all), Banach–Saks operators, Applied Mathematics, Interpolation between normed linear spaces, Weakly compact operators, 01 natural sciences, Banach-Saks operators, Operator ideals, real interpolation, Real interpolation, Abstract interpolation of topological vector spaces, weakly compact operators, 0101 mathematics

File Description: application/xml

Access URL: https://zbmath.org/2066873
https://doi.org/10.1016/j.matpur.2004.01.002
https://core.ac.uk/display/82214681
https://www.sciencedirect.com/science/article/abs/pii/S0021782404000030
https://eprints.ucm.es/id/eprint/15081/

A distance between orbits that controls commutator estimates and invertibility of operators: A distance between orbits that controls commutator estimates and invertibility of operators.

Authors: Natan Krugljak Mario Milman

Source: Advances in Mathematics. 182:78-123

Subject Terms: Mathematics(all), Self-improving property, commutator estimate, Interpolation between normed linear spaces, orbits, Orbits, 01 natural sciences, interpolation, Interpolation, Commutator estimate, real interpolation, Complex interpolation, Real interpolation, Abstract interpolation of topological vector spaces, self-improving property, Commutators, derivations, elementary operators, etc, 0101 mathematics, complex interpolation

File Description: application/xml

Access URL: https://dialnet.unirioja.es/servlet/articulo?codigo=778180
https://www.sciencedirect.com/science/article/abs/pii/S0001870803000744
http://www.diva-portal.org/smash/record.jsf?pid=diva2:981087
https://www.sciencedirect.com/science/article/pii/S0001870803000744

Quantitative approach to weak noncompactness in the polygon interpolation method: Quantitative approach to weak noncompactness in the polygon interpolation method.

Authors: Andrzej Kryczka

Source: Bulletin of the Australian Mathematical Society. 69:49-62

Subject Terms: polygon interpolation, Interpolation between normed linear spaces, Abstract interpolation of topological vector spaces, measure of weak noncompactness, \(J\)-method, \(K\)-method, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/EAC6D63D61952C314D49E27011A8D2A1/S0004972700034250a.pdf/div-class-title-quantitative-approach-to-weak-noncompactness-in-the-polygon-interpolation-method-div.pdf
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/EAC6D63D61952C314D49E27011A8D2A1/S0004972700034250a.pdf/div-class-title-quantitative-approach-to-weak-noncompactness-in-the-polygon-interpolation-method-div.pdf
https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/quantitative-approach-to-weak-noncompactness-in-the-polygon-interpolation-method/EAC6D63D61952C314D49E27011A8D2A1

Weakly compact operators and interpolation

Authors: Maligranda, Lech

Source: Positive Operators and Semigroups on Banach Lattices ISBN: 9789048142057

Subject Terms: Operator ideals, Matematisk analys, Abstract interpolation of topological vector spaces, Linear operators defined by compactness properties, Mathematical Analysis, weakly compact operators, 0101 mathematics, 01 natural sciences, interpolation, operator ideal

File Description: application/xml; application/pdf

Access URL: http://ltu.diva-portal.org/smash/get/diva2:987962/FULLTEXT01
https://zbmath.org/417086
https://doi.org/10.1007/bf00046639
https://link.springer.com/article/10.1007%2FBF00046639
https://rd.springer.com/chapter/10.1007/978-94-017-2721-1_9
http://www.diva-portal.org/smash/record.jsf?pid=diva2:987962
https://link.springer.com/content/pdf/10.1007/BF00046639.pdf
http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-14989