Holder and Lp Estimates for the partial derivative-equation in a class of convex domains of infinite type in Cn

被引：0
|
作者：
Ly Kim Ha [1 ]
机构：
[1] Vietnam Natl Univ HoChiMinh City VNU HCM, Univ Sci, Fac Math & Comp Sci, 227 Nguyen Van Cu St,Dist 5, Ho Chi Minh City, Vietnam
来源：
MONATSHEFTE FUR MATHEMATIK | 2019年 / 190卷 / 03期
关键词：
partial derivative; Henkin solution operator; Holder continuity; L-p estimates; BMO spaces; Infinite type domains; WEAKLY PSEUDOCONVEX DOMAINS; DIFFERENTIAL-EQUATION; FINITE; CONTINUITY; REGULARITY; LIPSCHITZ; SUPNORM; BAR;
D O I：
10.1007/s00605-019-01327-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to the study of Holder and L-p regularity of solutions of the Cauchy-Riemann equation partial derivative u = phi on a large class admissibly decoupled, smoothly bounded, convex domains of infinite type in C-n, for n >= 2.
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页码：517 / 540
页数：24
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