Lp and weighted estimates for barred derivatives

被引：1
|
作者：
Castillo, Andrew Z. [1 ]
Koenig, Kenneth D. [1 ]
机构：
[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 489卷 / 02期
关键词：
Barred derivatives; Cauchy-Riemann operator; Weakly q-convex; L-p regularity; Maximal hypoellipticity; SOBOLEV; REGULARITY; PROJECTION; BERGMAN; DOMAINS; SPACES;
D O I：
10.1016/j.jmaa.2020.124169
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We generalize the basic L-2 inequality for barred derivatives that holds on bounded pseudoconvex domains. The analogue in L-p-Sobolev norms is established for smooth, bounded pseudoconvex domains of finite type with comparable Levi eigenvalues. A weighted L-2 version and L-p estimates with loss are obtained on any smooth bounded weakly q-convex domain, where the weights are fractional powers of the distance to the boundary. (C) 2020 Elsevier Inc. All rights reserved.
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页数：22
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