Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in RN

被引：82

作者：

Chang, DC

Dafni, G

Stein, EM

机构：

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

[2] Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada

[3] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 351卷 / 04期

关键词：

D O I：

10.1090/S0002-9947-99-02111-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study two different local H-p spaces, 0 < p less than or equal to 1, on a smooth domain in R-n, by means of maximal functions and atomic decomposition. We prove the regularity in these spaces, as well as in the corresponding dual BMO spaces, of the Dirichlet and Neumann problems for the Laplacian.

引用

页码：1605 / 1661

页数：57

共 18 条

[1] ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].