SEMIGROUPS OF HOLOMORPHIC FUNCTIONS IN THE POLYDISK

被引：6

作者：

Contreras, M. D. ^{[1
]}

de Fabritiis, C. ^{[2
]}

Diaz-Madrigal, S. ^{[1
]}

机构：

[1] Univ Seville, Dept Matemat Aplicada 2, Escuela Tecn Super Ingenieros, Seville 41092, Spain

[2] Univ Politecn Marche, Dipartimento Sci Matemat, I-60131 Ancona, Italy

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 05期

关键词：

Polydisk; semigroups of holomorphic functions; infinitesimal generator; LINEAR FRACTIONAL MAPS; INFINITESIMAL GENERATORS; ANALYTIC-FUNCTIONS;

D O I：

10.1090/S0002-9939-2010-10571-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we provide an easy-to-use characterization of infinitesimal generators of semigroups of holomorphic functions in the polydisk. We also present a number of examples related to that characterization.

引用

页码：1617 / 1624

页数：8

共 50 条

[31] DIAGONAL MAPPING AND PROBLEMS OF REPRESENTATION IN ANISOTROPIC SPACES OF HOLOMORPHIC-FUNCTIONS IN THE POLYDISK
SHAMOYAN, FA
SIBERIAN MATHEMATICAL JOURNAL, 1990, 31 (02) : 350 - 365
[32] A boundedness criterion for Toeplitz operators in weighted Sobolev spaces of holomorphic functions on the polydisk
F. A. Shamoyan
Siberian Mathematical Journal, 2012, 53 (3) : 554 - 572
[33] A BOUNDEDNESS CRITERION FOR TOEPLITZ OPERATORS IN WEIGHTED SOBOLEV SPACES OF HOLOMORPHIC FUNCTIONS ON THE POLYDISK
Shamoyan, F. A.
SIBERIAN MATHEMATICAL JOURNAL, 2012, 53 (03) : 554 - 572
[34] Spaces of Banach-valued holomorphic functions in the polydisk in connection with their boundary values
Guliev, VS
FINITE OR INFINITE DIMENSIONAL COMPLEX ANALYSIS, 2000, 214 : 109 - 124
[35] Cyclic elements of the shift operator in weighted anisotropic spaces of holomorphic functions in the polydisk
Shamoyan F.A.
Journal of Mathematical Sciences, 2006, 139 (2) : 6491 - 6495
[36] Harmonic Measures, Green Potentials and Semigroups of Holomorphic Functions
Kourou, Maria
POTENTIAL ANALYSIS, 2020, 52 (02) : 301 - 319
[37] Weighted composition semigroups on Banach spaces of holomorphic functions
E. Bernard
Archiv der Mathematik, 2022, 119 : 167 - 178
[38] Weighted composition semigroups on Banach spaces of holomorphic functions
Bernard, E.
ARCHIV DER MATHEMATIK, 2022, 119 (02) : 167 - 178
[39] Analyticity of Weighted Composition Semigroups on the Space of Holomorphic Functions
Chalishajar, Dimplekumar
Somasundaram, Meena
Sethuraman, Panayappan
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2025, 51 (01)
[40] Harmonic Measures, Green Potentials and Semigroups of Holomorphic Functions
Maria Kourou
Potential Analysis, 2020, 52 : 301 - 319

← 1 2 3 4 5 →