Sharp Weighted Bounds for Multilinear Fractional Type Operators Associated with Bergman Projection-Reference-Cited by-同舟云学术

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Sharp Weighted Bounds for Multilinear Fractional Type Operators Associated with Bergman Projection

Published:2018-06-03 Issue: Volume:2018 Page:1-9
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Zhang Juan¹,Lan Senhua²^ORCID,Xue Qingying¹^ORCID

Affiliation:

1. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China

2. College of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, China

Abstract

We first introduce the multiple weights which are suitable for the study of Bergman type operators. Then, we give the sharp weighted estimates for multilinear fractional Bergman operators and fractional maximal function.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2018/3485962.pdf

Reference15 articles.

1. Theory of Bergman Spaces

2. Inégalités à poids pour le projecteur de Bergman dans la boule unité de $C^{n}$

3. Sharp Békollé estimates for the Bergman projection

4. Sharp Norm Estimates for the Bergman Operator From Weighted Mixed-norm Spaces to Weighted Hardy Spaces

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