A note on the boundedness of Bergman-type operators on mixed norm spaces

被引：1

作者：

Lou, Zengjian ^{[1
]}

机构：

[1] Shantou Univ, Dept Math, Guangzhou 515063, Guangdong, Peoples R China

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2007年 / 82卷

关键词：

Bergman-type operators; mixed norm spaces; boundedness;

D O I：

10.1017/S1446788700036181

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the boundedness of Bergman-type operators on mixed norm spaces L-p.q ( phi) for 0 < q < 1 and 0 < p < infinity of functions on the unit ball of C-n with an application to Gleason's problem.

引用

页码：395 / 402

页数：8

共 50 条

[41] ORDER BOUNDEDNESS AND ESSENTIAL NORM OF GENERALIZED WEIGHTED COMPOSITION OPERATORS ON BERGMAN SPACES WITH DOUBLING WEIGHTS
Liu, Zuoling
OPERATORS AND MATRICES, 2023, 17 (04): : 995 - 1009
[42] THE BOUNDEDNESS AND ESSENTIAL NORM OF THE DIFFERENCE OF COMPOSITION OPERATORS FROM WEIGHTED BERGMAN SPACES INTO THE BLOCH SPACE
Zhang, Yanhua
Zhang, Lixu
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2018, 21 (04): : 1153 - 1165
[43] Estimates for harmonic reproducing kernel and Bergman type operators on mixed norm and Besov spaces in the real ball
Avetisyan, Karen
ANNALS OF FUNCTIONAL ANALYSIS, 2023, 14 (02)
[44] Estimates for harmonic reproducing kernel and Bergman type operators on mixed norm and Besov spaces in the real ball
Karen Avetisyan
Annals of Functional Analysis, 2023, 14
[45] Boundedness and essential norm of an integral-type operator on a Hilbert-Bergman-type spaces
Stevic, Stevo
Jiang, Zhi-Jie
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
[46] Single point extremal functions in Bergman-type spaces
Aleman, A
Richter, S
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2002, 51 (03) : 581 - 605
[47] Logarithmic Bergman-type space and a sum of product-type operators
Xue, Yan-fu
Jiang, Zhi-jie
Jin, Hui-ling
Peng, Xiao-feng
AIMS MATHEMATICS, 2023, 8 (11): : 26682 - 26702
[48] BERGMAN-TYPE OPERATORS IN TUBULAR DOMAINS OVER SYMMETRIC CONES
Sehba, Benoit F.
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2009, 52 : 529 - 544
[49] Atomic decompositions of mixed norm Bergman spaces on tube type domains
Christensen, Jens Gerlach
REPRESENTATION THEORY AND HARMONIC ANALYSIS ON SYMMETRIC SPACES, 2018, 714 : 77 - 85
[50] Mixed norm Bergman-Morrey-type spaces on the unit disc
Karapetyants, A. N.
Samko, S. G.
MATHEMATICAL NOTES, 2016, 100 (1-2) : 38 - 48

← 1 2 3 4 5 →