Integral operators on the halfspace in generalized Lebesgue spaces LP(.), part II

被引：13

作者：

Diening, L ^{[1
]}

Ruzicka, M ^{[1
]}

机构：

[1] Univ Freiburg, Math Inst, Sect Appl Math, D-79104 Freiburg, Germany

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 298卷 / 02期

关键词：

Calderon-Zygmund theorem; singular integral operator; generalized Lebesgue spaces L-P(.);

D O I：

10.1016/j.jmaa.2004.05.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we generalize, under slightly more restrictive conditions on the kernel K, the classical theorem on halfspace estimates of Agmon, Douglis and Nirenberg [Comm. Pure Appl. Math. 12 (1959) 623-727] to generalized Lebesgue spaces L-p(.). In particular this yields W-2,W-p(.)-estimates in R-greater than or equal to(d+1) for the Laplace equation and the Stokes system. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：572 / 588

页数：17

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