Weak factorization and Hankel forms for weighted Bergman spaces on the unit ball

被引：23

作者：

Pau, Jordi ^{[1
]}

Zhao, Ruhan ^{[2
]}

机构：

[1] Univ Barcelona, Dept Matemat Aplicada & Anal, E-08007 Barcelona, Catalonia, Spain

[2] SUNY Coll Brockport, Dept Math, Brockport, NY 14420 USA

来源：

MATHEMATISCHE ANNALEN | 2015年 / 363卷 / 1-2期

关键词：

HARDY-SPACES; THEOREMS; DECOMPOSITION; OPERATORS;

D O I：

10.1007/s00208-015-1176-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish weak factorizations for a weighted Bergman space , with , into two weighted Bergman spaces on the unit ball of . To obtain this result, we characterize bounded Hankel forms on weighted Bergman spaces on the unit ball of C-n.

引用

页码：363 / 383

页数：21

共 50 条

[31] Carleson Measures on the Weighted Bergman Spaces with Bekolle Weights
Tong, Cezhong
Li, Junfeng
CHINESE ANNALS OF MATHEMATICS SERIES B, 2021, 42 (04) : 583 - 600
[32] Composition operators on weighted Bergman spaces of Dirichlet series
Bailleul, Maxime
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 426 (01) : 340 - 363
[33] Words of analytic paraproducts on Hardy and weighted Bergman spaces
Aleman, Alexandru
Cascante, Carme
Fabrega, Joan
Pascuas, Daniel
Angel Pelaez, Jose
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2024, 188 : 179 - 214
[34] Composition operators that improve integrability on weighted Bergman spaces
Smith, W
Yang, LM
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (02) : 411 - 420
[35] Geometric characterizations for conformal mappings in weighted Bergman spaces
Karafyllia, Christina
Karamanlis, Nikolaos
JOURNAL D ANALYSE MATHEMATIQUE, 2023, 150 (01): : 303 - 324
[36] KERNEL APPROXIMATION FOR WEIGHTED BERGMAN SPACES ON TUBE DOMAINS
Huang, Yun
Qian, Tao
Zhang, Dawei
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 152 (07) : 2877 - 2892
[37] Schatten class little Hankel operators on Bergman spaces in bounded symmetric domains
Yang, Wenwan
Yuan, Cheng
JOURNAL OF FUNCTIONAL ANALYSIS, 2025, 288 (10)
[38] Atomic Decompositions in Weighted Bergman Spaces of Analytic Functions on Strictly Pseudoconvex Domains
Arsenovic, Milos
FILOMAT, 2021, 35 (08) : 2545 - 2563
[39] Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane
Stevic, Stevo
Sharma, Ajay K.
Sharma, S. D.
ABSTRACT AND APPLIED ANALYSIS, 2011,
[40] Verifications of Pointwise Multipliers of Relations between Weighted Bergman Spaces and Hardy Spaces
Abdalla, Shawgy Hussein
ELniel, ELhadi ELnour
MATEMATIKA, 2012, 28 (01) : 23 - 34

← 1 2 3 4 5 →