Weighted estimates for the Bergman projection on the Hartogs triangle

Zhenghui Huo; Brett D. Wick

doi:10.1016/j.jfa.2020.108727

Weighted estimates for the Bergman projection on the Hartogs triangle

Zhenghui Huo
, Brett D. Wick

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We apply modern techniques of dyadic harmonic analysis to obtain sharp estimates for the Bergman projection in weighted Bergman spaces. Our main theorem focuses on the Bergman projection on the Hartogs triangle. The estimates of the operator norm are in terms of a Bekollé-Bonami type constant. As an application of the results obtained, we give, for example, an upper bound for the L^p norm of the Bergman projection on the generalized Hartogs triangle H_m/n in C².

Original language	English
Article number	108727
Journal	Journal of Functional Analysis
Volume	279
Issue number	9
DOIs	https://doi.org/10.1016/j.jfa.2020.108727
State	Published - Nov 15 2020

Keywords

Bergman kernel
Bergman projection
Hartogs triangle
Weighted inequalities

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10.1016/j.jfa.2020.108727

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title = "Weighted estimates for the Bergman projection on the Hartogs triangle",

abstract = "We apply modern techniques of dyadic harmonic analysis to obtain sharp estimates for the Bergman projection in weighted Bergman spaces. Our main theorem focuses on the Bergman projection on the Hartogs triangle. The estimates of the operator norm are in terms of a Bekoll{\'e}-Bonami type constant. As an application of the results obtained, we give, for example, an upper bound for the Lp norm of the Bergman projection on the generalized Hartogs triangle Hm/n in C2.",

keywords = "Bergman kernel, Bergman projection, Hartogs triangle, Weighted inequalities",

author = "Zhenghui Huo and Wick, \{Brett D.\}",

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AU - Huo, Zhenghui

AU - Wick, Brett D.

PY - 2020/11/15

Y1 - 2020/11/15

N2 - We apply modern techniques of dyadic harmonic analysis to obtain sharp estimates for the Bergman projection in weighted Bergman spaces. Our main theorem focuses on the Bergman projection on the Hartogs triangle. The estimates of the operator norm are in terms of a Bekollé-Bonami type constant. As an application of the results obtained, we give, for example, an upper bound for the Lp norm of the Bergman projection on the generalized Hartogs triangle Hm/n in C2.

AB - We apply modern techniques of dyadic harmonic analysis to obtain sharp estimates for the Bergman projection in weighted Bergman spaces. Our main theorem focuses on the Bergman projection on the Hartogs triangle. The estimates of the operator norm are in terms of a Bekollé-Bonami type constant. As an application of the results obtained, we give, for example, an upper bound for the Lp norm of the Bergman projection on the generalized Hartogs triangle Hm/n in C2.

KW - Bergman kernel

KW - Bergman projection

KW - Hartogs triangle

KW - Weighted inequalities

UR - https://www.scopus.com/pages/publications/85089263663

U2 - 10.1016/j.jfa.2020.108727

DO - 10.1016/j.jfa.2020.108727

M3 - Article

AN - SCOPUS:85089263663

SN - 0022-1236

VL - 279

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 9

M1 - 108727

ER -

Weighted estimates for the Bergman projection on the Hartogs triangle

Abstract

Keywords

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