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.
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页码：572 / 588
页数：17
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