Výsledky vyhledávání - Global boundary behavior of holomorphic functions of several complex variables

Bounded holomorphic functions and maps with some boundary behavior

Autoři: Toshio Matsushima

Zdroj: Journal of Mathematical Analysis and Applications. 285:691-707

Témata: linear cluster set of positive measure, Global boundary behavior of holomorphic functions of several complex variables, Applied Mathematics, bounded holomorphic function, 0103 physical sciences, Boundary behavior of holomorphic functions of several complex variables, bounded holomorphic map with wild boundary behavior, 0101 mathematics, 01 natural sciences, theorems of Fatou type, Analysis, boundary behavior of holomorphic mapping

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1992576
https://doi.org/10.1016/s0022-247x(03)00471-2
https://www.sciencedirect.com/science/article/pii/S0022247X03004712

The restrictions of functions holomorphic in a domain to curves lying on its boundary, and discrete $ \operatorname{SL}_2(\mathbb R)$-spectra: The restrictions of functions holomorphic in a domain to curves lying on its boundary, and discrete \(SL_2(\mathbb{R})\)-spectra

Autoři: Yu A Neretin

Zdroj: Izvestiya: Mathematics. 62:493-513

Témata: polynomial growth, Holomorphic functions of several complex variables, Global boundary behavior of holomorphic functions of several complex variables, holomorphic function, Boundary behavior of holomorphic functions of several complex variables, restriction, 0101 mathematics, 01 natural sciences, Operations with distributions and generalized functions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1252647
https://doi.org/10.1070/im1998v062n03abeh000202
http://ui.adsabs.harvard.edu/abs/1998IzMat..62..493N/abstract

Holomorphic functions which are highly nonintegrable at the boundary

Autoři: Josip Globevnik

Zdroj: Israel Journal of Mathematics. 115:195-203

Témata: convex domain, Global boundary behavior of holomorphic functions of several complex variables, 0101 mathematics, holomorhpic function, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1436104
https://doi.org/10.1007/bf02810586
https://link.springer.com/article/10.1007/BF02810586
https://link.springer.com/content/pdf/10.1007/BF02810586.pdf

Tangential boundary limits and exceptional sets for holomorphic functions in Dirichlet-type spaces

Autoři: Sueiro, Juan

Zdroj: Mathematische Annalen. 286:661-678

Témata: Dirichlet forms, 510.mathematics, fractional Cauchy integrals, Global boundary behavior of holomorphic functions of several complex variables, Picard-type theorems and generalizations for several complex variables, existence of tangential boundary limits, Boundary behavior of holomorphic functions of several complex variables, exceptional sets, 0101 mathematics, 16. Peace & justice, 01 natural sciences, Article, approach regions

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Přístupová URL adresa: https://link.springer.com/article/10.1007/BF01453595

Reflection principle and boundary properties of holomorphic mappings

Autoři: Bernard Coupet Alexandre Sukhov

Zdroj: Journal of Mathematical Sciences. 125:825-930

Témata: Lewy-Pinchuk reflection principle, geometry of analytic CR structures, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Global boundary behavior of holomorphic functions of several complex variables, Segre family, Boundary behavior of holomorphic functions of several complex variables, Other notions of convexity in relation to several complex variables, Webster theorem, extension of a biholomorphism, algebraic reflection principle, 01 natural sciences, Fefferman's mapping theorem, Real submanifolds in complex manifolds, geometric reflection principle, topological rigidity of CR mappings, 0101 mathematics, Holomorphically convex complex spaces, reduction theory, deformations of smooth CR structures

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Přístupová URL adresa: https://link.springer.com/content/pdf/10.1007/s10958-005-0072-8.pdf
https://link.springer.com/article/10.1007/s10958-005-0072-8
https://rd.springer.com/content/pdf/10.1007%2FPL00021946.pdf

THE RELATION BETWEEN THE SOLID MODULUS OF CONTINUITY AND THE MODULUS OF CONTINUITY ALONG THE SHILOV BOUNDARY FOR ANALYTIC FUNCTIONS OF SEVERAL VARIABLES: Relation between the solid modulus of continuity and modulus of continuity along the Shilov boundary for analytic functions of several variables

Autoři: B Ërikke

Zdroj: Mathematics of the USSR-Sbornik. 50:495-511

Témata: maximum principle, continuity modulus function, Global boundary behavior of holomorphic functions of several complex variables, Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube), continuity modulus, regular Weyl region, Boundary behavior of holomorphic functions of several complex variables, Lipschitz condition, Shilov boundary, 0101 mathematics, regular bounded Weil domain, 01 natural sciences

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Přístupová URL adresa: https://zbmath.org/3859499
https://ui.adsabs.harvard.edu/abs/1985SbMat..50..495E/abstract

Holomorphic functions with highly noncontinuable boundary behavior

Autoři: Edgar Lee Stout Josip Globevnik

Zdroj: Journal d'Analyse Mathématique. 41:211-216

Témata: Global boundary behavior of holomorphic functions of several complex variables, 0103 physical sciences, Pseudoconvex domains, Boundary behavior of holomorphic functions of several complex variables, Continuation of analytic objects in several complex variables, global boundary behavior, strongly pseudoconvex domain, 0101 mathematics, continuation of analytic objects, boundary limit, 01 natural sciences

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Přístupová URL adresa: https://zbmath.org/3899268
https://doi.org/10.1007/bf02803401
https://link.springer.com/article/10.1007%2FBF02803401

The holomorphic extension of $C^k$ CR functions on tube submanifolds: The holomorphic extension of \(H^p\)-CR functions on tube submanifolds

Autoři: Albert Boggess

Zdroj: Annales Polonici Mathematici. 70:35-42

Témata: Global boundary behavior of holomorphic functions of several complex variables, 4. Education, Extension of functions and other analytic objects from CR manifolds, tube manifold, uniqueness, Bochner's tube theorem, Holomorphic, polynomial and rational approximation, and interpolation in several complex variables, Runge pairs, CR functions, \(H^p\)-CR function, 01 natural sciences, tube manifolds, analytic disc, CR function, holomorphic extension, Real submanifolds in complex manifolds, CR manifolds, 0101 mathematics, approximation, Polynomial convexity, rational convexity, meromorphic convexity in several complex variables

Popis souboru: application/xml

Přístupová URL adresa: https://www.impan.pl/shop/publication/transaction/download/product/110266?download.pdf
https://www.ams.org/proc/1999-127-05/S0002-9939-99-04828-5/S0002-9939-99-04828-5.pdf
https://zbmath.org/1267718
https://doi.org/10.1090/s0002-9939-99-04828-5
https://zbmath.org/1292053
https://doi.org/10.4064/ap-70-1-35-42
https://asu.pure.elsevier.com/en/publications/the-holomorphic-extension-of-hsuppsup-cr-functions-on-tube-subman
https://www.ams.org/proc/1999-127-05/S0002-9939-99-04828-5/S0002-9939-99-04828-5.pdf
https://www.ams.org/journals/proc/1999-127-05/S0002-9939-99-04828-5/home.html
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-apmv70z1p35bwm

One Boundary Version of Morera's Theorem: On a boundary version of Morera's theorem

Autoři: S. G. Myslivets

Zdroj: Siberian Mathematical Journal. 42:952-960

Témata: Global boundary behavior of holomorphic functions of several complex variables, boundary Morera theorem, Boundary behavior of holomorphic functions of several complex variables, Continuation of analytic objects in several complex variables, 0102 computer and information sciences, 0101 mathematics, several complex variables, 01 natural sciences, holomorphic continuation, boundary values of a holomorphic function

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Přístupová URL adresa: https://zbmath.org/1882364
https://link.springer.com/content/pdf/10.1023/A:1011923929133.pdf
https://eudml.org/doc/50122
https://link.springer.com/article/10.1023%2FA%3A1011923929133

Holomorphic Functions in Tubes Which Have Distributional Boundary Values and Which Are $H^p $ Functions: Holomorphic functions in tubes which have distributional boundary values and which are \(H^ p \)functions

Autoři: Richard D. Carmichael Stephen P. Richters

Zdroj: SIAM Journal on Mathematical Analysis. 14:596-621

Témata: \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables, Distributions and ultradistributions as boundary values of analytic functions, holomorphic functions in tubes, Global boundary behavior of holomorphic functions of several complex variables, Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube), distributional boundary values, Boundary behavior of holomorphic functions of several complex variables, Hardy space, 0101 mathematics, Nevanlinna theory, growth estimates, other inequalities of several complex variables, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://epubs.siam.org/doi/10.1137/0514047

Boundary uniqueness theorems for analytic functions of several complex variables

Autoři: Ehminyan, O. M.

Témata: uniqueness theorem of Bagemihl, Global boundary behavior of holomorphic functions of several complex variables, Boundary value problems in the complex plane, Other generalizations of function theory of one complex variable, boundary behaviour, maximality theorem of Collingwood

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Přístupová URL adresa: https://zbmath.org/4044201

Zero-Sets of Continuous Holomorphic Functions on the Boundary of a Strongly Pseudoconvex Domain: Zero-sets of continuous holomorphic functions on the boundary of a strongly pseudoconvex domain

Autoři: Barnet M. Weinstock

Zdroj: Journal of the London Mathematical Society. :484-488

Témata: Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, Global boundary behavior of holomorphic functions of several complex variables, interpolation set, Pseudoconvex domains, strongly pseudoconvex domain, peak point, 0101 mathematics, 01 natural sciences, algebra of holomorphic functions, Algebras of holomorphic functions of several complex variables

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Přístupová URL adresa: https://zbmath.org/3641835
https://doi.org/10.1112/jlms/s2-18.3.484
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms/s2-18.3.484

Boundary continuity of some holomorphic functions

Autoři: Glicksberg, I.

Zdroj: Pacific J. Math. 80, no. 2 (1979), 425-434

Témata: Banach algebras of continuous functions, function algebras, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, Global boundary behavior of holomorphic functions of several complex variables, Continuation of analytic objects in several complex variables, 32E35, Shilov boundary, 0101 mathematics, subalgebra of functions, continuous extension, 01 natural sciences, Algebras of holomorphic functions of several complex variables

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Přístupová URL adresa: http://msp.org/pjm/1979/80-2/pjm-v80-n2-p13-s.pdf
http://projecteuclid.org/download/pdf_1/euclid.pjm/1102785715
https://projecteuclid.org/euclid.pjm/1102785715
https://msp.org/pjm/1979/80-2/pjm-v80-n2-p13-s.pdf
https://msp.org/pjm/1979/80-2/p13.xhtml
https://projecteuclid.org/download/pdf_1/euclid.pjm/1102785715
http://projecteuclid.org/euclid.pjm/1102785715

Peak sets in real-analytic convex boundaries

Autoři: Rachid Belhachemi

Zdroj: Pacific Journal of Mathematics. 185:209-220

Témata: Global boundary behavior of holomorphic functions of several complex variables, holomorphic function, 0101 mathematics, 01 natural sciences, peak set

Popis souboru: application/xml

Přístupová URL adresa: http://msp.org/pjm/1998/185-2/pjm-v185-n2-p02-s.pdf
https://zbmath.org/1344268
https://doi.org/10.2140/pjm.1998.185.209
https://msp.org/pjm/1998/185-2/p02.xhtml
https://msp.org/pjm/1998/185-2/pjm-v185-n2-p02-p.pdf

Invariant metrics and peak functions on pseudoconvex domains of homogeneous finite diagonal type: Invariant metrics and peak functions on pseudoconvex domains of homogeneous finite diagonal type.

Autoři: Herbort, Gregor

Zdroj: Mathematische Zeitschrift. 209:223-243

Témata: pseudo-convex domains of homogeneous finite diagonal type, Global boundary behavior of holomorphic functions of several complex variables, Carathéodory-Reiffen metric, Pseudoconvex domains, Carathéodory and Kobayashi pseudodifferential metrics, real-valued plurisubharmonic function, Kobayashi-Royden metric, 01 natural sciences, Article, 510.mathematics, Pluriharmonic and plurisubharmonic functions, peak point, invariant metrics, 0101 mathematics, peak functions, Invariant metrics and pseudodistances in several complex variables, Algebras of holomorphic functions of several complex variables

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Přístupová URL adresa: https://link.springer.com/article/10.1007/BF02570831
https://link.springer.com/content/pdf/10.1007/BF02570831.pdf

A reflection principle for proper holomorphic mappings and geometric invariants

Autoři: Faran, James J., V

Zdroj: Mathematische Zeitschrift. 203:363-377

Témata: Proper holomorphic mappings, finiteness theorems, 510.mathematics, boundary regularity, proper holomorphic mappings, Holomorphic mappings and correspondences, Global boundary behavior of holomorphic functions of several complex variables, strictly pseudoconvex domains, 0103 physical sciences, Pseudoconvex domains, reflection principle, 0101 mathematics, 01 natural sciences, Article

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Přístupová URL adresa: https://link.springer.com/article/10.1007%2FBF02570744

Boundary behavior of holomorphic functions on pseudoconvex domains

Autoři: Catlin, David

Zdroj: J. Differential Geom. 15, no. 4 (1980), 605-625

Témata: Global boundary behavior of holomorphic functions of several complex variables, Pseudoconvex domains, bounded pseudoconvex domain, Boundary behavior of holomorphic functions of several complex variables, 32E35, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 01 natural sciences, 32F15, Oka- Weil approximation theorem, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, Levi problem, holomorphic convexity, delta-Neumann problem

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://projecteuclid.org/download/pdf_1/euclid.jdg/1214435847
https://projecteuclid.org/journals/journal-of-differential-geometry/volume-15/issue-4/Boundary-behavior-of-holomorphic-functions-on-pseudoconvex-domains/10.4310/jdg/1214435847.full
http://projecteuclid.org/handle/euclid.jdg/1214435847
http://projecteuclid.org/euclid.jdg/1214435847

Condition R and Fefferman′s mapping theorem: Condition \(R\) and Fefferman's mapping theorem

Autoři: Patrick W. Darko

Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 29, Iss 12, Pp 749-752 (2002)

Témata: strictly pseudoconvex manifold, Stein manifold, Global boundary behavior of holomorphic functions of several complex variables, biholomorphic map, QA1-939, Stein spaces, Strongly pseudoconvex domains, 0101 mathematics, Boundary regularity of mappings in several complex variables, 01 natural sciences, Mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://downloads.hindawi.com/journals/ijmms/2002/374790.pdf
https://doaj.org/article/e99feebfe0944115a329190074c83f06
https://www.emis.de/journals/HOA/IJMMS/29/12749.pdf
https://www.hindawi.com/journals/ijmms/2002/374790/
https://downloads.hindawi.com/journals/ijmms/2002/374790.pdf

ZEROS OF HOLOMORPHIC FUNCTIONS OF FINITE ORDER AND WEIGHTED ESTIMATES FOR SOLUTIONS OF THE $\bar\partial$-EQUATION: Zeros of holomorphic functions of finite order and weighted estimates for solutions of the \(\overline\partial\)-equation

Autoři: Š A Dautov G M Henkin

Zdroj: Mathematics of the USSR-Sbornik. 35:449-459

Témata: strictly pseudoconvex manifold, Holomorphic functions of several complex variables, Global boundary behavior of holomorphic functions of several complex variables, delta-equation, finite order of growth at the boundary, Pseudoconvex domains, Boundary behavior of holomorphic functions of several complex variables, \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs, 0101 mathematics, \(\overline\partial\) and \(\overline\partial\)-Neumann operators, 01 natural sciences, zeros of holomorphic functions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3654475
https://doi.org/10.1070/sm1979v035n04abeh001551
http://ui.adsabs.harvard.edu/abs/1979SbMat..35..449D/abstract

Some wild holomorphic functions on strictly pseudoconvex domains

Autoři: Josip Globevnik

Zdroj: Indagationes Mathematicae (Proceedings). 88:385-396

Témata: boundary behavior of holomorphic function, Global boundary behavior of holomorphic functions of several complex variables, Pseudoconvex domains, Boundary behavior of holomorphic functions of several complex variables, strictly pseudoconvex domain, Continuation of analytic objects in several complex variables, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3933453
https://www.sciencedirect.com/science/article/pii/138572588590023X