SOBOLEV REGULARITY OF THE BERGMAN PROJECTION ON A CLASS OF SINGULAR REINHARDT DOMAINS

In this paper, we study the L p Sobolev regularity of the Bergman projection on monomial polyhedra, which are a wide class of bounded singular Reinhardt domains defined as sublevel sets of holomorphic monomials.This work generalizes the previous results of Sobolev regularity of the Bergman projection on various special singular Reinhardt domains.

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Publication Details

Journal
Canadian Mathematical Bulletin
Published
2025-09-22
DOI
https://doi.org/10.4153/s0008439525101227
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

SOBOLEV REGULARITY OF THE BERGMAN PROJECTION ON A CLASS OF SINGULAR REINHARDT DOMAINS

Shuo Zhang
Canadian Mathematical Bulletin
Algebraic and Geometric Analysis
article

SOBOLEV REGULARITY OF THE BERGMAN PROJECTION ON A CLASS OF SINGULAR REINHARDT DOMAINS

Shuo Zhang
article en

Abstract

In this paper, we study the L p Sobolev regularity of the Bergman projection on monomial polyhedra, which are a wide class of bounded singular Reinhardt domains defined as sublevel sets of holomorphic monomials.This work generalizes the previous results of Sobolev regularity of the Bergman projection on various special singular Reinhardt domains.

Canadian Mathematical Bulletin
National Natural Science Foundation of China, Natural Science Foundation of Tianjin City
Openalex Percentile: Top 63%
Algebraic and Geometric Analysis
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SOBOLEV REGULARITY OF THE BERGMAN PROJECTION ON A CLASS OF SINGULAR REINHARDT DOMAINS — Shuo Zhang · Canadian Mathematical Bulletin (2025) | TGRS Research Map | TGRS