Pointwise estimate for the Bergman kernel of the weighted Bergman spaces with exponential type weights

被引：16

作者：

Asserda, Said ^{[1
]}

Hichame, Amal ^{[2
]}

机构：

[1] Ibn Tofail Univ, Dept Math, Fac Sci, Kenitra, Morocco

[2] Reg Ctr Trades Educ & Training, Kenitra, Morocco

来源：

COMPTES RENDUS MATHEMATIQUE | 2014年 / 352卷 / 01期

关键词：

D O I：

10.1016/j.crma.2013.11.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let AL(phi)(2) (D) denote the closed subspace of L-2(D, e(-2 phi) d lambda) consisting of holomorphic functions in the unit disc D. For certain class of subharmonic functions phi : D -> D, we prove an upper pointwise estimate for the Bergman kernel for AL(phi)(2) (D). (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：13 / 16

页数：4

共 50 条

[1] Bergman spaces with exponential type weights
Arroussi, Hicham
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
[2] Bergman spaces with exponential type weights
Hicham Arroussi
Journal of Inequalities and Applications, 2021
[3] Bergman spaces with exponential weights
Hu, Zhangjian
Lv, Xiaofen
Schuster, Alexander P.
JOURNAL OF FUNCTIONAL ANALYSIS, 2019, 276 (05) : 1402 - 1429
[4] Pointwise multipliers from weighted Bergman spaces and hardy spaces to weighted Bergman spaces
Zhao, R
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2004, 29 (01) : 139 - 150
[5] The Essential Norm of Hankel Operators on the Weighted Bergman Spaces with Exponential Type Weights
S. Asserda
Integral Equations and Operator Theory, 2006, 55 : 1 - 18
[6] The essential norm of hankel operators on the weighted bergman spaces with exponential type weights
Asserda, S
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2006, 55 (01) : 1 - 18
[7] Hankel Operators on the Weighted LP-Bergman Spaces with Exponential Type Weights
Cho, Hong Rae
Seo, Jeong Wan
ABSTRACT AND APPLIED ANALYSIS, 2014,
[8] HANKEL-OPERATORS ON THE WEIGHTED BERGMAN SPACES WITH EXPONENTIAL-TYPE WEIGHTS
LIN, P
ROCHBERG, R
INTEGRAL EQUATIONS AND OPERATOR THEORY, 1995, 21 (04) : 460 - 483
[9] Weighted Composition Operators between Bergman Spaces with Exponential Weights
Cao, Guang Fu
He, Li
Zhang, Yi Yuan
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2022, 38 (12) : 2231 - 2252
[10] Unbounded Bergman Projections on Weighted Spaces with Respect to Exponential Weights
José Bonet
Wolfgang Lusky
Jari Taskinen
Integral Equations and Operator Theory, 2021, 93

← 1 2 3 4 5 →