A Békollè–Bonami Class of Weights for Certain Pseudoconvex Domains

Zhenghui Huo; Nathan A. Wagner; Brett D. Wick

doi:10.1007/s12220-020-00516-w

A Békollè–Bonami Class of Weights for Certain Pseudoconvex Domains

Zhenghui Huo, Nathan A. Wagner, Brett D. Wick

Department of Mathematics & Statistics

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

7 Scopus citations

Abstract

We prove the weighted L^p regularity of the ordinary Bergman projection on certain pseudoconvex domains where the weight belongs to an appropriate generalization of the Békollè–Bonami class. The main tools used are estimates on the Bergman kernel obtained by McNeal and Békollè’s original approach of proving a good-lambda inequality.

Original language	English
Pages (from-to)	6042-6066
Number of pages	25
Journal	Journal of Geometric Analysis
Volume	31
Issue number	6
DOIs	https://doi.org/10.1007/s12220-020-00516-w
State	Published - Jun 2021

Keywords

Bergman projection
Békollè–Bonami weights
Finite type
Pseudoconvex domains
Weighted inequalities

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10.1007/s12220-020-00516-w

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abstract = "We prove the weighted Lp regularity of the ordinary Bergman projection on certain pseudoconvex domains where the weight belongs to an appropriate generalization of the B{\'e}koll{\`e}–Bonami class. The main tools used are estimates on the Bergman kernel obtained by McNeal and B{\'e}koll{\`e}{\textquoteright}s original approach of proving a good-lambda inequality.",

keywords = "Bergman projection, B{\'e}koll{\`e}–Bonami weights, Finite type, Pseudoconvex domains, Weighted inequalities",

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AU - Huo, Zhenghui

AU - Wagner, Nathan A.

AU - Wick, Brett D.

PY - 2021/6

Y1 - 2021/6

N2 - We prove the weighted Lp regularity of the ordinary Bergman projection on certain pseudoconvex domains where the weight belongs to an appropriate generalization of the Békollè–Bonami class. The main tools used are estimates on the Bergman kernel obtained by McNeal and Békollè’s original approach of proving a good-lambda inequality.

AB - We prove the weighted Lp regularity of the ordinary Bergman projection on certain pseudoconvex domains where the weight belongs to an appropriate generalization of the Békollè–Bonami class. The main tools used are estimates on the Bergman kernel obtained by McNeal and Békollè’s original approach of proving a good-lambda inequality.

KW - Bergman projection

KW - Békollè–Bonami weights

KW - Finite type

KW - Pseudoconvex domains

KW - Weighted inequalities

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DO - 10.1007/s12220-020-00516-w

M3 - Article

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SN - 1050-6926

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EP - 6066

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

IS - 6

ER -

A Békollè–Bonami Class of Weights for Certain Pseudoconvex Domains

Abstract

Keywords

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