Search Results - "Boundary behavior of holomorphic functions of several complex variables"

Stein's theorem on infinite type domains

Authors: Chen, Liwei Yuan, Yuan

Source: Communications in Analysis and Geometry. 32:1233-1254

Subject Terms: Worm domains, boundary behavior of holomorphic functions of several variables, Mathematics - Complex Variables, Mathematics - Classical Analysis and ODEs, infinite type domains, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Primary: 32A10, 32A50, Secondary: 32T20, worm domains, Boundary behavior of holomorphic functions of several complex variables, Complex Variables (math.CV)

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Access URL: http://arxiv.org/abs/2310.11623

On Hp-Solutions of the Bezout Equation in the Ball: On \(H^p\)-solutions of the Bezout equation in the ball

Authors: Joaquim Bruna Eric Amar

Source: The Journal of Fourier Analysis and Applications ISBN: 9780429332838

Subject Terms: \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables, Holomorphic functions of several complex variables, bounded holomorphic functions, Boundary behavior of holomorphic functions of several complex variables, Hardy space, unit ball

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Access URL: https://zbmath.org/1115806
https://www.taylorfrancis.com/chapters/hp-solutions-bezout-equation-ball-eric-amar-joaquim-bruna/e/10.1201/9780429332838-2

Reflection principle and boundary properties of holomorphic mappings

Authors: Bernard Coupet Alexandre Sukhov

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

Subject Terms: 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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Access URL: 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

Bounded holomorphic functions and maps with some boundary behavior

Authors: Toshio Matsushima

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

Subject Terms: 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

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

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

Authors: S. G. Myslivets

Source: Siberian Mathematical Journal. 42:952-960

Subject Terms: 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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Access URL: 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

one boundary version of morera s theorem: On a boundary version of Morera's theorem

Authors: S. G. Myslivets

Source: Siberian Mathematical Journal. 42(5):952-960

Subject Terms: 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, several complex variables, holomorphic continuation, boundary values of a holomorphic function

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Access URL: 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

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

Authors: Yu A Neretin

Source: Izvestiya: Mathematics. 62:493-513

Subject Terms: 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

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

UNIVERSAL RADIAL LIMITS OF HOLOMORPHIC FUNCTIONS: Universal radial limits of holomorphic functions

Authors: Bayart, Frédéric

Contributors: Bayart, Frédéric

Source: Glasgow Mathematical Journal. 47:261-267

Subject Terms: [MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA], Boundary behavior of holomorphic functions of several complex variables, 0101 mathematics, 01 natural sciences

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Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/A84BD0932BC8499EAA139A9701D8247E/S0017089505002478a.pdf/div-class-title-universal-radial-limits-of-holomorphic-functions-div.pdf
https://hal.science/hal-00281571v1
https://zbmath.org/2215346
https://doi.org/10.1017/s0017089505002478
https://www.cambridge.org/core/journals/glasgow-mathematical-journal/article/universal-radial-limits-of-holomorphic-functions/A84BD0932BC8499EAA139A9701D8247E
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/A84BD0932BC8499EAA139A9701D8247E/S0017089505002478a.pdf/div-class-title-universal-radial-limits-of-holomorphic-functions-div.pdf

Sharpness of the Korányi approach region

Authors: Kentaro Hirata

Source: Proceedings of the American Mathematical Society. 133:2309-2317

Subject Terms: Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions, Boundary behavior of holomorphic functions of several complex variables, Littlewood-type theorem, boundary behavior of Poisson-Szegö integrals, 0101 mathematics, Boundary behavior of harmonic functions in higher dimensions, 01 natural sciences

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Access URL: https://www.ams.org/proc/2005-133-08/S0002-9939-05-08020-2/S0002-9939-05-08020-2.pdf
https://www.jstor.org/stable/4097871
https://www.ams.org/proc/2005-133-08/S0002-9939-05-08020-2/S0002-9939-05-08020-2.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1258177
https://www.ams.org/journals/proc/2005-133-08/S0002-9939-05-08020-2/home.html

Existence of K-limits of holomorphic maps: Existence of \(K\)-limits of holomorphic maps

Authors: P. V. Dovbush

Source: Mathematical Notes. 77:471-475

Subject Terms: Kobayashi norm, K-limits, Boundary behavior of holomorphic functions of several complex variables, 0101 mathematics, 01 natural sciences, Invariant metrics and pseudodistances in several complex variables, hyperbolic domains

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Access URL: https://link.springer.com/article/10.1007/s11006-005-0045-8

On boundary behaviour of the Bergman projection on pseudoconvex domains

Authors: M. Jasiczak

Source: Studia Mathematica. 166:243-261

Subject Terms: asymptotic expansion, Functional analysis techniques applied to functions of several complex variables, Integral representations, canonical kernels (Szegő, Bergman, etc.), Bergman spaces of functions in several complex variables, Boundary behavior of holomorphic functions of several complex variables, Spaces defined by inductive or projective limits (LB, LF, etc.), Strongly pseudoconvex domains, Topological linear spaces of continuous, differentiable or analytic functions, 0101 mathematics, 01 natural sciences, weighted-sup seminorms

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/89578?download.pdf
https://zbmath.org/2120166
https://doi.org/10.4064/sm166-3-3
https://www.impan.pl/en/publishing-house/journals-and-series/studia-mathematica/all/166/3/89578/on-boundary-behaviour-of-the-bergman-projection-on-pseudoconvex-domains
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm166-3-3
https://www.impan.pl/shop/publication/transaction/download/product/89578?download.pdf
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/166/3/89578/on-boundary-behaviour-of-the-bergman-projection-on-pseudoconvex-domains

On the Rogosinski radius for holomorphic mappings and some of its applications

Authors: Lev Aizenberg Mark Elin David Shoikhet

Source: Studia Mathematica. 168:147-158

Subject Terms: Cauchy problem, generalized complete Reinhardt domain, complex Banach spaces, holomorphic generators, Boundary behavior of holomorphic functions of several complex variables, 01 natural sciences, holomorphic mappings, Taylor series, Other generalizations of function theory of one complex variable, Rogosinski radius, 0101 mathematics, power series extension, Power series, series of functions of several complex variables, Bohr radius

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/90636?download.pdf
https://zbmath.org/2159563
https://doi.org/10.4064/sm168-2-5
https://eudml.org/doc/284898
https://www.impan.pl/en/publishing-house/journals-and-series/studia-mathematica/all/168/2/90636/on-the-rogosinski-radius-for-holomorphic-mappings-and-some-of-its-applications
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-2-5

An unusual self-adjoint linear partial differential operator

Authors: Plum, Michael Everitt, W. N. Markus, L.

Source: Transactions of the American Mathematical Society. 357:1303-1324

Subject Terms: ddc:510, Linear symmetric and selfadjoint operators (unbounded), Boundary value problems for higher-order elliptic equations, Bergman spaces of functions in several complex variables, General topics in linear spectral theory for PDEs, Boundary behavior of holomorphic functions of several complex variables, 0101 mathematics, 01 natural sciences, Mathematics, Boundary values of solutions to elliptic equations and elliptic systems

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Access URL: https://www.ams.org/tran/2005-357-04/S0002-9947-04-03719-5/S0002-9947-04-03719-5.pdf
https://zbmath.org/2125279
https://doi.org/10.1090/s0002-9947-04-03719-5
https://documat.unirioja.es/servlet/articulo?codigo=2202826
https://dialnet.unirioja.es/servlet/articulo?codigo=2202826
https://www.ams.org/tran/2005-357-04/S0002-9947-04-03719-5/S0002-9947-04-03719-5.pdf
https://www.ams.org/journals/tran/2005-357-04/S0002-9947-04-03719-5/home.html

The Cauchy Boundary Value Problems on Closed Piecewise Smooth Manifolds in C n: The Cauchy boundary value problems on closed piecewise smooth manifolds in \(\mathbb{C}^n\)

Authors: Lin, Liang Yu Qiu, Chun Hui

Source: Acta Mathematica Sinica, English Series. 20:989-998

Subject Terms: Bochner-Martinelli kernel, Hadamard principal value, Holomorphic functions of several complex variables, Plemelj formula, 4. Education, Boundary behavior of holomorphic functions of several complex variables, Singular integrals of functions in several complex variables, 16. Peace & justice, 01 natural sciences, boundary value problem, 8. Economic growth, Integral representations, canonical kernels (Szegő, Bergman, etc.), 0101 mathematics, Boundary value problem

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Access URL: https://zbmath.org/2243674
https://doi.org/10.1007/s10114-004-0387-2
https://rd.springer.com/article/10.1007%2Fs10114-004-0387-2
https://link.springer.com/article/10.1007%2Fs10114-004-0387-2
https://core.ac.uk/display/41371678
http://dspace.xmu.edu.cn/handle/2288/66711?locale-attribute=en

Description of Simple Exceptional Sets in the Unit Ball: Description of simple exceptional sets in the unit ball.

Authors: Piotr Kot

Source: Czechoslovak Mathematical Journal. 54:55-63

Subject Terms: Boundary behavior of power series in one complex variable, over-convergence, boundary behavior of power series, Boundary behavior of holomorphic functions of several complex variables, exceptional set, 0101 mathematics, 01 natural sciences

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Access URL: http://dml.cz/bitstream/handle/10338.dmlcz/127863/CzechMathJ_54-2004-1_4.pdf
https://link.springer.com/article/10.1023/B%3ACMAJ.0000027246.96443.28
https://dialnet.unirioja.es/servlet/articulo?codigo=883273
https://eudml.org/doc/30836

A Generalwolff Theorem for Arbitrary Banach Spaces: A general Wolff theorem for arbitrary Banach spaces

Authors: P. Mellon

Source: Mathematical Proceedings of the Royal Irish Academy. 104:127-142

Subject Terms: Kobayshi distance, complex Banach spaces, iterates of holomorphic mappings without fixed point, Boundary behavior of holomorphic functions of several complex variables, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables, 0101 mathematics, 01 natural sciences, Invariant metrics and pseudodistances in several complex variables, horospheres

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Access URL: https://www.jstor.org/stable/40656878

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

Authors: Sueiro, Juan

Source: Mathematische Annalen. 286:661-678

Subject Terms: 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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Access URL: https://link.springer.com/article/10.1007/BF01453595

Hardy spaces for non-compactly causal symmetric spaces and the most continuous spectrum

Authors: Gestur Ólafsson Simon Gindikin Bernhard Krötz

Source: Mathematische Annalen. 327:25-66

Subject Terms: Plancherel formula, Mathematics - Complex Variables, 22E30, 32M15, 43A85, Boundary behavior of holomorphic functions of several complex variables, complex crown, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), 01 natural sciences, non-compactly causal spaces, Harmonic analysis on homogeneous spaces, most continuous part of the spectrum, Semisimple Lie groups and their representations, Integral representations, canonical kernels (Szegő, Bergman, etc.), semisimple symmetric spaces, FOS: Mathematics, Representation Theory (math.RT), Complex Variables (math.CV), 0101 mathematics, Mathematics - Representation Theory

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Access URL: http://arxiv.org/pdf/math/0111172
http://arxiv.org/abs/math/0111172
https://dialnet.unirioja.es/servlet/articulo?codigo=2806164
https://rd.springer.com/article/10.1007/s00208-003-0409-x
https://link.springer.com/article/10.1007/s00208-003-0409-x
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_3124881
https://ui.adsabs.harvard.edu/abs/2001math.....11172G/abstract
https://core.ac.uk/display/41504684

Asymptotic Properties of Harmonic and M-Harmonic Functions near the Boundary of the Unit Ball: Asymptotic properties of harmonic and \(M\)-harmonic functions near the boundary of the unit ball

Authors: Maria Roginskaya

Source: Journal of Mathematical Sciences. 115:2262-2266

Subject Terms: Pluriharmonic and plurisubharmonic functions, plurisubharmonic measure, 0103 physical sciences, Boundary behavior of holomorphic functions of several complex variables, 0101 mathematics, Boundary value and inverse problems for harmonic functions in higher dimensions, 01 natural sciences

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Access URL: https://zbmath.org/1971375
https://doi.org/10.1023/a:1022801324298
https://link.springer.com/article/10.1023/A%3A1022801324298

asymptotic properties of harmonic and m harmonic functions near the boundary of the unit ball: Asymptotic properties of harmonic and \(M\)-harmonic functions near the boundary of the unit ball

Authors: Maria Roginskaya

Source: Journal of Mathematical Sciences. 115(2):2262-2266

Subject Terms: Pluriharmonic and plurisubharmonic functions, plurisubharmonic measure, Boundary behavior of holomorphic functions of several complex variables, Boundary value and inverse problems for harmonic functions in higher dimensions

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Access URL: https://zbmath.org/1971375
https://doi.org/10.1023/a:1022801324298
https://link.springer.com/article/10.1023/A%3A1022801324298