Weighted Lp estimates for the Bergman and Szego projections on strongly pseudoconvex domains with near minimal smoothness

被引：5

作者：

Wagner, Nathan A. ^{[1
]}

Wick, Brett D. ^{[1
]}

机构：

[1] Washington Univ, Dept Math & Stat, St Louis, MO 63110 USA

来源：

ADVANCES IN MATHEMATICS | 2021年 / 384卷

关键词：

Bergman projection; Szego projection; Strongly pseudoconvex; Bekolle-Bonami; Muckenhoupt; C-N; INEQUALITIES; KERNEL;

D O I：

10.1016/j.aim.2021.107745

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the weighted L-p regularity of the ordinary Bergman and Cauchy-Szego projections on strongly pseudoconvex domains D in C-n with near minimal smoothness for appropriate generalizations of the B-p/A(p) classes. In particular, the B-p/A(p) Muckenhoupt type condition is expressed relative to balls in a quasi-metric that arises as a space of homogeneous type on either the interior or the boundary of the domain D. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：45

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