Výsledky vyhledávání - Bergman spaces of functions in several complex variables

Hankel operators on vector-valued Bergman spaces

Autoři: Oliver Vendrell, Roc

Přispěvatelé: University/Department: Universitat de Barcelona. Departament de Matemàtiques i Informàtica

Thesis Advisors: Pau, Jordi, Ortega Cerdà, Joaquim

Zdroj: TDX (Tesis Doctorals en Xarxa)

Témata: Funcions de diverses variables complexes, Funciones de varias variables complejas, Functions of several complex variables, Operadors lineals, Operadores lineales, Linear operators, Aplicacions holomòrfiques, Aplicaciones holomorfas, Holomorphic mappings, Ciències Experimentals i Matemàtiques

Popis souboru: application/pdf

Přístupová URL adresa: http://hdl.handle.net/10803/471520

Essential norm of Hankel operators on weighted Bergman spaces of strongly pseudoconvex domains

Autoři: Zeng, Zhicheng Wang, Xiaofeng Xia, Jin

Zdroj: Annals of Functional Analysis. 16

Témata: Hankel operator, essential norm, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Bergman spaces of functions in several complex variables, weighted Bergman space

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7978657
https://doi.org/10.1007/s43034-024-00403-3

An Introduction to complex analysis in several variables: Riemann mapping and Bergman spaces

Autoři: Vilaseca Vinadé, Guillem Marzo Sánchez, Jordi

Přispěvatelé: Vilaseca Vinadé, Guillem Marzo Sánchez, Jordi

Zdroj: Treballs Finals de Grau (TFG) - Matemàtiques

Témata: Funcions de diverses variables complexes, Teoria geomètrica de funcions, Funcions holomorfes, Treballs de fi de grau, Nuclis de Bergman, Functions of several complex variables, Geometric function theory, Holomorphic functions, Bachelor's theses, Bergman kernel functions

Popis souboru: 46 p.; application/pdf; text/plain

Relation: https://hdl.handle.net/2445/222361

Dostupnost: https://hdl.handle.net/2445/222361

Compact difference of composition operators with smooth symbols on the polydisks

Autoři: Lian Hu Hyungwoon Koo

Zdroj: Banach Journal of Mathematical Analysis. 19

Témata: \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables, compact, Lipschitz symbol, Linear composition operators, difference, Bergman spaces of functions in several complex variables, composition operator, polydisk

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8036310
https://doi.org/10.1007/s43037-025-00417-6

Toeplitz operators with symbols invariant under the action of a subgroup of the nilpotent group on the Siegel domain $$D_{2}$$: Toeplitz operators with symbols invariant under the action of a subgroup of the nilpotent group on the Siegel domain \(D_2\)

Autoři: Sánchez-Nungaray, Armando Vasilevski, Nikolai

Zdroj: Boletín de la Sociedad Matemática Mexicana. 31

Témata: Bergman spaces, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Bergman spaces of functions in several complex variables, direct integral, Set-valued set functions and measures, integration of set-valued functions, measurable selections, Siegel domain, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Toeplitz operators

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8037495
https://doi.org/10.1007/s40590-025-00752-6

Functions of Extended Class in the Theory of Functions of Several Complex Variables

Autoři: Bergman, Stefan

Zdroj: Transactions of the American Mathematical Society, 1948 May 01. 63(3), 523-547.

Přístupová URL adresa: https://www.jstor.org/stable/1990573

ON WEAK COMPACTNESS OF COMPOSITION OPERATORS ON BERGMAN SPACES OF SEVERAL COMPLEX VARIABLES

Autoři: CHEN, LANG

Zdroj: Journal of Operator Theory, 1996 Jan 01. 35(1), 67-84.

Přístupová URL adresa: https://www.jstor.org/stable/24714690

Sampling in Weighted Lp Spaces of Entire Functions in Cn and Estimates of the Bergman Kernel: Sampling in weighted \(L^p\) spaces of entire functions in \(\mathbb{C}^n\) and estimates of the Bergman kernel

Autoři: Niklas Lindholm

Zdroj: Journal of Functional Analysis. 182:390-426

Témata: sampling, Entire functions of several complex variables, Bergman spaces of functions in several complex variables, eigenvalues, Holomorphic, polynomial and rational approximation, and interpolation in several complex variables, Runge pairs, Bergman kernel, 01 natural sciences, interpolation, Fock space, Toeplitz operator, Integral representations, canonical kernels (Szegő, Bergman, etc.), Fock spaces, 0101 mathematics, Bargmann space, concentration operator, Toeplitz operators, Analysis

Popis souboru: application/xml

Přístupová URL adresa: http://www.sciencedirect.com/science/article/pii/S0022123600937339
https://core.ac.uk/display/82080075
https://publications.lib.chalmers.se/publication/92905-sampling-in-weighted-lpspaces-of-entire-functions-in-cn-and-estimates-of-the-bergman-kernel
https://www.sciencedirect.com/science/article/pii/S0022123600937339
http://www.math.chalmers.se/Math/Research/Preprints/2000/18.pdf

Complex interpolation between two weighted Bergman spaces on tubes over symmetric cones: Complex interpolation between two weighted Bergman spaces on tubes over symmetric cones.

Autoři: David Békollé Jocelyn Gonessa Cyrille Nana

Zdroj: Comptes Rendus. Mathématique. 337:13-18

Témata: Functional analysis techniques applied to functions of several complex variables, weighted Bergman spaces, Banach spaces of continuous, differentiable or analytic functions, Abstract interpolation of topological vector spaces, Interpolation between normed linear spaces, Bergman spaces of functions in several complex variables, atomic decomposition of functions, symmetric cones, 0101 mathematics, tube domains, complex interpolation, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1981368
https://doi.org/10.1016/s1631-073x(03)00257-7
https://www.sciencedirect.com/science/article/pii/S1631073X03002577

WEIGHTED HARMONIC BERGMAN FUNCTIONS ON HALF-SPACES: Weighted harmonic Bergman functions on half-spaces

Autoři: Heungsu Yi Hyungwoon Koo Kyesook Nam

Zdroj: Journal of the Korean Mathematical Society. 42:975-1002

Témata: Integral representations, integral operators, integral equations methods in higher dimensions, weighted harmonic Bergman function, Bergman spaces of functions in several complex variables, fractional derivative, 0101 mathematics, 01 natural sciences, Harmonic, subharmonic, superharmonic functions in higher dimensions, weighted Bergman kernel, upper half-space

Popis souboru: application/xml

Přístupová URL adresa: http://www.ndsl.kr/soc_img/society/kms/DBSHBB/2005/v42n5/DBSHBB_2005_v42n5_975.pdf
https://koreauniv.pure.elsevier.com/en/publications/weighted-harmonic-bergman-functions-on-half-spaces
http://dspace.kci.go.kr/handle/kci/191676
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2005_v42n5_975

$$L^{\vec {p}}-L^{\vec {q}}$$ boundedness of multiparameter Forelli–Rudin type operators on the product of unit balls of $${\mathbb {C}}^n$$: \(L^{\vec{p}}-L^{\vec{q}}\) boundedness of multiparameter Forelli-Rudin type operators on the product of unit balls of \(\mathbb{C}^n\)

Autoři: Huang, Long Wang, Xiaofeng Zeng, Zhicheng

Zdroj: Mathematische Zeitschrift. 306

Témata: Berezin transform, mixed-norm Lebesgue space, Schur's test, Harmonic analysis in several variables, Mathematics - Complex Variables, Linear operators on function spaces (general), Forelli-Rudin type operator, Bergman spaces of functions in several complex variables, FOS: Mathematics, \(L^{{\vec{p}}}-L^{{\vec{q}}}\) boundedness, Bergman projection, Complex Variables (math.CV), Function spaces arising in harmonic analysis

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2304.04942
https://zbmath.org/7819892
https://doi.org/10.1007/s00209-024-03459-y

Contractivity and expansivity of H-Toeplitz operators on the Bergman spaces.

Autoři: Sumin Kim Lee, Jongrak

Zdroj: AIMS Mathematics; Aug2022, Vol. 7 Issue 8, p13927-13944, 18p

Témata: BERGMAN spaces, FUNCTION spaces, HOLOMORPHIC functions, FUNCTIONS of several complex variables, MATHEMATICAL mappings

Growth rate of the functions in Bergman type spaces

Autoři: E. G. Kwon Hong Rae Cho

Zdroj: Journal of Mathematical Analysis and Applications. 285:275-281

Témata: 03 medical and health sciences, 0302 clinical medicine, Applied Mathematics, Bergman spaces of functions in several complex variables, growth rate, 0101 mathematics, 01 natural sciences, Bergman type spaces, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1985903
https://doi.org/10.1016/s0022-247x(03)00416-5
https://www.sciencedirect.com/science/article/pii/S0022247X03004165
https://www.sciencedirect.com/science/article/abs/pii/S0022247X03004165

Gleason's problem for harmonic Bergman and Bloch functions on half-spaces

Autoři: Hyungwoon Koo Boo Rim Choe Heungsu Yi

Zdroj: Integral Equations and Operator Theory. 36:269-287

Témata: Integral representations, integral operators, integral equations methods in higher dimensions, Gleason's problem, harmonic Bergman space, reproducing kernel, Bergman spaces of functions in several complex variables, harmonic Bloch space, 0101 mathematics, 01 natural sciences, Harmonic, subharmonic, superharmonic functions in higher dimensions, \(H^p\)-classes

Popis souboru: application/xml

Přístupová URL adresa: https://koreauniv.pure.elsevier.com/en/publications/gleasons-problem-for-harmonic-bergman-and-bloch-functions-on-half
https://link.springer.com/article/10.1007/BF01213925

The Friedrichs operator and circular domains

Autoři: Ravisankar, Sivaguru Roy, Samriddho

Zdroj: Proceedings of the American Mathematical Society.

Témata: circular domain, symmetrized polydisc, Mathematics - Complex Variables, Bergman spaces of functions in several complex variables, Special domains (Reinhardt, Hartogs, circular, tube, etc.) in \(\mathbb{C}^n\) and complex manifolds, tetrablock, 32A36 32Q02 (Primary), 93D21 (Secondary), 01 natural sciences, Friedrichs operator, Functional Analysis (math.FA), Mathematics - Functional Analysis, Optimization and Control (math.OC), FOS: Mathematics, Bergman space, 0101 mathematics, Complex Variables (math.CV), Mathematics - Optimization and Control, pentablock

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2211.02689

On the distribution of zeros of functions from weighted Bergman spaces.

Autoři: Sevast'yanov, E. A. Dolgoborodov, A. A.

Zdroj: Mathematical Notes. Aug2009, Vol. 88 Issue 1/2, p93-106. 14p.

Témata: *BERGMAN spaces, *FUNCTIONS of several complex variables, *ANALYTIC functions, *COMPLEX variables, *SET theory

Essential Norms and Schatten(-Herz) Classes of Integration Operators from Bergman Spaces to Hardy Spaces

Autoři: Chen, Jiale Pau, Jordi Wang, Mao Fa

Zdroj: Articles publicats en revistes (Matemàtiques i Informàtica)

Témata: Operadors lineals, Funcions de diverses variables complexes, Espais analítics, Funcions holomorfes, Linear operators, Functions of several complex variables, Analytic spaces, Holomorphic functions

Popis souboru: application/pdf

Relation: Versió postprint del document publicat a: https://doi.org/10.1007/s00025-021-01403-8; Results In Mathematics, 2021, vol. 76, num. 88; https://doi.org/10.1007/s00025-021-01403-8; https://hdl.handle.net/2445/194154; 720898

Dostupnost: https://hdl.handle.net/2445/194154

On the zeros of functions in Bergman spaces and in some other related classes of functions

Autoři: Girela, Daniel Márquez, M. Auxiliadora Peláez, José Ángel

Zdroj: Journal of Mathematical Analysis & Applications. Sep2005, Vol. 309 Issue 2, p534-543. 10p.

Témata: *BERGMAN spaces, *FUNCTIONS of several complex variables, *ANALYTIC mappings, *MATHEMATICAL analysis

Volterra type integration operators from Bergman spaces to Hardy spaces

Autoři: Miihkinen, Santeri Pau, Jordi Perälä, Antti a další

Zdroj: Articles publicats en revistes (Matemàtiques i Informàtica)

Témata: Espais funcionals, Teoria d'operadors, Funcions de diverses variables complexes, Espais analítics, Function spaces, Operator theory, Functions of several complex variables, Analytic spaces

Popis souboru: application/pdf

Relation: Versió postprint del document publicat a: https://doi.org/10.1016/j.jfa.2020.108564; Journal of Functional Analysis, 2020, vol. 279, num. 4; https://doi.org/10.1016/j.jfa.2020.108564; https://hdl.handle.net/2445/194160; 710156

Dostupnost: https://hdl.handle.net/2445/194160

RIEMANN–STIELTJES OPERATORS ON WEIGHTED BLOCH AND BERGMAN SPACES OF THE UNIT BALL: Riemann-Stieltjes operators on weighted Bloch and Bergman spaces of the unit ball

Autoři: Jie Xiao

Zdroj: Journal of the London Mathematical Society. 70:199-214

Témata: Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Riemann-Stieltjes operators, weighted Bergman spaces, Banach spaces of continuous, differentiable or analytic functions, Linear operators on function spaces (general), Bergman spaces of functions in several complex variables, weighted Bloch spaces, 0101 mathematics, 01 natural sciences, Bloch functions, normal functions of several complex variables, \(H^p\)-classes

Popis souboru: application/xml

Přístupová URL adresa: https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/abs/riemannstieltjes-operators-on-weighted-bloch-and-bergman-spaces-of-the-unit-ball/80D20C96EEAC870FF3DEB37DA6454F6F
http://doi.wiley.com/10.1112/S0024610704005484
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610704005484
https://academic.oup.com/jlms/article/70/1/199/933416