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.

引用

页码：517 / 540

页数：24

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