MAXIMAL ESTIMATE AND INTEGRAL OPERATORS IN BERGMAN SPACES WITH DOUBLING MEASURE

被引：2

作者：

Pang, Changbao ^{[1
]}

Perala, Antti ^{[2
]}

Wang, Maofa ^{[3
]}

Guo, Xin ^{[4
]}

机构：

[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041000, Peoples R China

[2] Umea Univ, Dept Math & Math Stat, S-90187 Umea, Sweden

[3] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[4] Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 07期

关键词：

Maximal function; Carleson measure; integral operator; MULTIPLIERS; HARDY;

D O I：

10.1090/proc/14927

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. The boundedness of the maximal operator on the upper half-plane pi+ is established. Here pi+ is equipped with a positive Borel measure d omega(y)dx satisfying the doubling property omega ((0, 2t)) <= C omega ((0, t)). This result is connected to the Carleson embedding theorem, which we use to characterize the boundedness and compactness of the Volterra type integral operators on the Bergman spaces Ap omega(pi+).

引用

页码：2881 / 2894

页数：14

共 50 条

[1] Embedding Theorems and Area Operators on Bergman Spaces with Doubling Measure
Pang, Changbao
Perala, Antti
Wang, Maofa
COMPLEX ANALYSIS AND OPERATOR THEORY, 2021, 15 (03)
[2] Embedding Theorems and Area Operators on Bergman Spaces with Doubling Measure
Changbao Pang
Antti Perälä
Maofa Wang
Complex Analysis and Operator Theory, 2021, 15
[3] Integral Operators on Bergman–Morrey Spaces
Yao Yang
Junming Liu
The Journal of Geometric Analysis, 2022, 32
[4] Maximal and fractional integral operators on generalized Morrey spaces over metric measure spaces
Sihwaningrum, Idha
Gunawan, Hendra
Nakai, Eiichi
MATHEMATISCHE NACHRICHTEN, 2018, 291 (8-9) : 1400 - 1417
[5] Integral Operators on Bergman-Morrey Spaces
Yang, Yao
Liu, Junming
JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (06)
[6] Maximal inner spaces and Hankel operators on the Bergman space
Zhu, KH
INTEGRAL EQUATIONS AND OPERATOR THEORY, 1998, 31 (03) : 371 - 387
[7] Maximal inner spaces and Hankel operators on the Bergman space
Kehe Zhu
Integral Equations and Operator Theory, 1998, 31 : 371 - 387
[8] Composition operators with maximal norm on weighted Bergman spaces
Carswell, Brent J.
Hammond, Christopher
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (09) : 2599 - 2605
[9] Composition operators on weighted Bergman spaces induced by doubling weights
Guo, Xin
Wang, Maofa
SCIENCE CHINA-MATHEMATICS, 2024, 67 (07) : 1571 - 1598
[10] Difference of Composition Operators on Weighted Bergman Spaces with Doubling Weights
Shi, Yecheng
Qu, Dan
Li, Songxiao
COMPUTATIONAL METHODS AND FUNCTION THEORY, 2022, 22 (02) : 287 - 305

← 1 2 3 4 5 →