Search Results - Absolutely continuous real functions of several variables, functions of bounded variation~

The variation of the uncentered maximal operator with respect to cubes

Authors: Julian Weigt

Source: Journal of the European Mathematical Society. 27:2531-2570

Subject Terms: Mathematics - Analysis of PDEs, maximal function, Maximal functions, Littlewood-Paley theory, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, variation, 0101 mathematics, 42B25, 26B30, 01 natural sciences, Absolutely continuous real functions of several variables, functions of bounded variation, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2109.10747
https://zbmath.org/8030710
https://doi.org/10.4171/jems/1575

BV Functions and Nonlocal Functionals in Metric Measure Spaces: BV functions and nonlocal functionals in metric measure spaces

Authors: Lahti P. Pinamonti A. Zhou X.

Source: The Journal of Geometric Analysis. 34

Subject Terms: nonlocal functional, function of bounded variation, 01 natural sciences, Absolutely continuous real functions of several variables, functions of bounded variation, Functional Analysis (math.FA), Mathematics - Functional Analysis, 46E36, 26B30, Sobolev (and similar kinds of) spaces of functions on metric spaces, analysis on metric spaces, metric measure space, Sobolev function, Poincaré inequality, FOS: Mathematics, 26B30, 46E36, Function of bounded variation, Metric measure space, Nonlocal functional, Poincaré inequality, 0101 mathematics

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Access URL: http://arxiv.org/abs/2310.08882
https://hdl.handle.net/11572/438271
https://doi.org/10.1007/s12220-024-01766-8

Absolutely Continuous Functions of Several Variables and Quasiconformal Mappings: Absolutely continuous functions of several variables and quasiconformal mappings

Authors: Stanislav Hencl

Source: Zeitschrift für Analysis und ihre Anwendungen. 22:767-778

Subject Terms: Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations, functions of bounded variation, absolute continuity, 0101 mathematics, quasiconformal maps, 01 natural sciences, Absolutely continuous real functions of several variables, functions of bounded variation

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Access URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=22&iss=4&rank=3
https://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=22&iss=4&rank=3
https://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=22&iss=4&rank=3

Absolutely Continuous Functions of Several Variables: Absolutely continuous functions of several variables

Authors: Jan Malý

Source: Journal of Mathematical Analysis and Applications. 231:492-508

Subject Terms: Applied Mathematics, absolute continuity, monotone mappings, Absolutely continuous real functions in one variable, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, 01 natural sciences, Analysis, Absolutely continuous real functions of several variables, functions of bounded variation, differentiability

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Access URL: https://zbmath.org/1274903
https://doi.org/10.1006/jmaa.1998.6246
https://core.ac.uk/display/81964460
https://www.sciencedirect.com/science/article/pii/S0022247X98962461
https://www.sciencedirect.com/science/article/abs/pii/S0022247X98962461

Absolutely continuous functions of several variables and diffeomorphisms

Authors: Stanislav Hencl Jan Malý

Source: Open Mathematics, Vol 1, Iss 4, Pp 690-705 (2003)

Subject Terms: change of variables, QA1-939, 26b30, 0101 mathematics, 01 natural sciences, Mathematics, Absolutely continuous real functions of several variables, functions of bounded variation, absolute continuity in several variables

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Access URL: https://doaj.org/article/68f49f5dde6d40bd9adf70e65ee1c2d9
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.doi-10_2478_BF02475188
https://www.degruyter.com/view/journals/math/1/4/article-p690.xml?language=en
https://link.springer.com/article/10.2478/BF02475188
https://eudml.org/doc/268750
https://www.degruyter.com/view/j/math.2003.1.issue-4/BF02475188/bf02475188.xml
https://link.springer.com/content/pdf/10.2478/BF02475188.pdf

Continuity in $ \Lambda$-variation of functions of several variables and convergence of multiple Fourier series: Continuity in \(\Lambda\)-variation of functions of several variables and the convergence of multiple Fourier series.

Authors: A N Bakhvalov

Source: Sbornik: Mathematics. 193:1731-1748

Subject Terms: bounded Lambda-variation, convergence, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, bounded harmonic variation, 0103 physical sciences, 0101 mathematics, Fourier series, divergence, 01 natural sciences, Absolutely continuous real functions of several variables, functions of bounded variation

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Access URL: https://ui.adsabs.harvard.edu/abs/2002SbMat.193.1731B/abstract

A Banach algebra of functions of several variables of finite total variation and Lipschitzian superposition operators. I: A Banach algebra of functions of several variables of finite total variation and Lipschitzian superposition operators. II

Authors: Vyacheslav V. Chistyakov

Source: Nonlinear Analysis: Theory, Methods & Applications. 62:559-578

Subject Terms: MAPPINGS, finite total variation, SUBSTITUTION, Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.), 01 natural sciences, Absolutely continuous real functions of several variables, functions of bounded variation, Representation and superposition of functions, Banach algebras of continuous functions, function algebras, COMPOSING FUNCTIONS, Banach algebra property, PRINCIPLE, superposition operator, Lipschitz condition, 0101 mathematics, functions of several variables

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Access URL: https://publications.hse.ru/en/articles/74431445
https://www.narcis.nl/publication/RecordID/oai%3Apure.rug.nl%3Apublications%2Fda5f6038-147e-40c1-aa00-61005fca192a
https://research.rug.nl/en/publications/a-banach-algebra-of-functions-of-several-variables-of-finite-tota-2
https://www.rug.nl/research/portal/en/publications/a-banach-algebra-of-functions-of-several-variables-of-finite-total-variation-and-lipschitzian-superposition-operators-i(be411485-8797-4bbb-a86d-2aa793b8557b).html
https://www.sciencedirect.com/science/article/pii/S0362546X05004001
https://core.ac.uk/display/92452927

Continuity in $ \Lambda$-variations of functions of several variables: Continuity in \(\Lambda\)-variation of functions of several variables.

Authors: O S Dragoshanskii

Source: Sbornik: Mathematics. 194:1009-1034

Subject Terms: Fourier coefficients, Fourier series of functions with special properties, special Fourier series, Fourier series and coefficients in several variables, 0103 physical sciences, Functions of bounded variation, generalizations, 0101 mathematics, 01 natural sciences, Absolutely continuous real functions of several variables, functions of bounded variation, functions of bounded \(\Lambda\)-variation

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Access URL: http://www.osti.gov/scitech/biblio/21208330-continuity-lambda-variations-functions-several-variables
https://iopscience.iop.org/article/10.1070/SM2003v194n07ABEH000752
https://stacks.iop.org/1064-5616/194/i=7/a=A04?key=crossref.e6e7a24979101a04ac0a5632c7a35b03
https://ui.adsabs.harvard.edu/abs/2003SbMat.194.1009D/abstract

On the total variation for functions of several variables and a multidimensional analog of Helly’s selection principle: On the total variation for functions of several variables and a multidimensional analog of Helly's selection principle

Authors: A. S. Leonov

Source: Mathematical Notes. 63:61-71

Subject Terms: total variation, Hardy class, Helly's selection principle, functions of bounded variation, completely monotonous functions, 0101 mathematics, 01 natural sciences, functions of several variables, Absolutely continuous real functions of several variables, functions of bounded variation

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Access URL: https://link.springer.com/article/10.1007%2FBF02316144

Functions of several variables of finite variation and their differentiability

Authors: Dariusz Idczak

Source: Annales Polonici Mathematici. 60:47-56

Subject Terms: functions of finite variation, 0211 other engineering and technologies, Continuity and differentiation questions, 02 engineering and technology, 0101 mathematics, 01 natural sciences, functions of several variables, Absolutely continuous real functions of several variables, functions of bounded variation, differentiability

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/108241?download.pdf
https://zbmath.org/720072
https://doi.org/10.4064/ap-60-1-47-56
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-apmv60z1p47bwm

A short note on functions of bounded variation.

Authors: Surender Malhotra, Mehak Arora, Monika

Source: AIP Conference Proceedings; 2023, Vol. 2728 Issue 1, p1-4, 4p

Subject Terms: MONOTONIC functions, FUNCTION algebras, CONTINUOUS functions, FUNCTIONS of bounded variation

Functions of bounded variation on compact subsets of the plane

Authors: Brenden Ashton Ian Doust

Source: Studia Mathematica. 169:163-188

Subject Terms: absolutely continuous functions, AC-operators, well-bounded operators, functions of bounded variation, Spectral operators, decomposable operators, well-bounded operators, etc, functional calculus, 0101 mathematics, 01 natural sciences, Absolutely continuous real functions of several variables, functions of bounded variation

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/90178?download.pdf
https://zbmath.org/2159584
https://doi.org/10.4064/sm169-2-5
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/169/2/90178/functions-of-bounded-variation-on-compact-subsets-of-the-plane
https://dialnet.unirioja.es/servlet/articulo?codigo=1155149
https://www.impan.pl/shop/publication/transaction/download/product/90178?download.pdf
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm169-2-5
https://eudml.org/doc/286381

Superposition Operators in the Algebra of Functions of Two Variables with Finite Total Variation: Superposition operators in the algebra of functions of two variables with finite total variation

Authors: Vyacheslav V. Chistyakov

Source: Monatshefte f�r Mathematik. 137:99-114

Subject Terms: Representation and superposition of functions, finite total variation, Functional equations for real functions, superposition operators, 0101 mathematics, Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.), 01 natural sciences, Absolutely continuous real functions of several variables, functions of bounded variation, functions of two variables, Nemytskij operator

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Access URL: https://dialnet.unirioja.es/servlet/articulo?codigo=697916
https://link.springer.com/article/10.1007/s006050200048
https://publications.hse.ru/en/articles/158588103
https://documat.unirioja.es/servlet/articulo?codigo=697916

Functions of Bounded Variation�and Rearrangements: Functions of bounded variation and rearrangements

Authors: CIANCHI, ANDREA N. FUSCO

Source: Archive for Rational Mechanics and Analysis. 165:1-40

Subject Terms: functions of bounded variation, symmetrization, Polya-Szego principle, Young function, symmetric rearrangement, Variational problems in a geometric measure-theoretic setting, Regularity of solutions in optimal control, approximate differentiability, 0101 mathematics, 01 natural sciences, Absolutely continuous real functions of several variables, functions of bounded variation, integral functional

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Access URL: https://zbmath.org/1882106
https://doi.org/10.1007/s00205-002-0214-9
http://hdl.handle.net/11588/144751
https://core.ac.uk/display/54962891
https://link.springer.com/content/pdf/10.1007%2Fs00205-002-0214-9.pdf
http://ui.adsabs.harvard.edu/abs/2002ArRMA.165....1C/abstract
https://hdl.handle.net/2158/4351

Alberti's rank one theorem and quasiconformal mappings in metric measure spaces

Authors: Panu Lahti

Source: Journal of Functional Analysis. 288:110758

Subject Terms: Analysis on metric spaces, Mathematics - Metric Geometry, Quasiconformal mappings in metric spaces, FOS: Mathematics, quasiconformal mapping, Ahlfors regular metric measure space, Alberti's rank one theorem, Metric Geometry (math.MG), 30L99, 30L10, 26B30, 0101 mathematics, function of bounded variation, 01 natural sciences, Absolutely continuous real functions of several variables, functions of bounded variation

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Access URL: http://arxiv.org/abs/2303.09157
https://zbmath.org/7962979
https://doi.org/10.1016/j.jfa.2024.110758

On the notions of absolute continuity for functions of several variables

Authors: Stanislav Hencl

Source: Fundamenta Mathematicae. 173:175-189

Subject Terms: Implicit function theorems, Jacobians, transformations with several variables, absolute continuity, weak differentiability, area formula, 0101 mathematics, 01 natural sciences, Absolutely continuous real functions of several variables, functions of bounded variation, differentiability almost everywhere

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/88372?download.pdf
https://eudml.org/doc/283143
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-fm173-2-5
https://www.impan.pl/en/publishing-house/journals-and-series/fundamenta-mathematicae/all/173/2/88372/on-the-notions-of-absolute-continuity-for-functions-of-several-variables
https://www.impan.pl/shop/publication/transaction/download/product/88372?download.pdf

on an open question about functions of bounded variation: On an open question about functions of bounded variation.

Authors: Juan Dávila

Source: Calculus of Variations and Partial Differential Equations. 15(4):519-527

Subject Terms: surface measure, functions of bounded variation, Functions of bounded variation, generalizations, vector-valued Radon measure, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, Absolutely continuous real functions of several variables, functions of bounded variation

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Access URL: https://zbmath.org/1942733
https://doi.org/10.1007/s005260100135
https://rd.springer.com/article/10.1007/s005260100135
https://link.springer.com/article/10.1007/s005260100135

Absolutely Continuous Functions of Two Variables and Well-Bounded Operators: Absolutely continuous functions of two variables and well-bounded operators

Authors: T. A. Gillespie Earl Berkson

Source: Journal of the London Mathematical Society. :305-321

Subject Terms: Functional calculus for linear operators, Representations of commutative topological algebras, Banach algebra of absolutely continuous functions, spectral family, Spectral operators, decomposable operators, well-bounded operators, etc, functional calculus, 0101 mathematics, scalar-type spectral operators, 01 natural sciences, well-bounded operators of type (B), Absolutely continuous real functions of several variables, functions of bounded variation

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Access URL: https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/jlms/s2-30.2.305

Spherical partial sums of the double Fourier series of functions of bounded generalized variation

Authors: Mikhail Ivanovich Dyachenko

Source: Sbornik: Mathematics. 188:29-60

Subject Terms: Fourier series and coefficients in several variables, functions of generalized bounded variation, double Fourier series, Waterman classes, 0101 mathematics, spherical partial sums, 01 natural sciences, Summability in several variables, Absolutely continuous real functions of several variables, functions of bounded variation

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Access URL: https://iopscience.iop.org/article/10.1070/SM1997v188n01ABEH000186
http://iopscience.iop.org/article/10.1070/SM1997v188n01ABEH000186
https://ui.adsabs.harvard.edu/abs/1997SbMat.188...29D/abstract

Extension by zero of functions of several variables

Authors: O. V. Besov

Source: Mathematical Notes. 64:303-315

Subject Terms: extension by zero, smooth integral norm, flexible horn property, extension of functions from domains with nonsmooth boundary, Integration of real functions of several variables: length, area, volume, Continuity and differentiation questions, Banach space of locally integrable functions, 0101 mathematics, 01 natural sciences, Absolutely continuous real functions of several variables, functions of bounded variation, 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://link.springer.com/article/10.1007%2FBF02314838