Title of article
Integral operators on the halfspace in generalized Lebesgue spaces Lp(·), part II
Author/Authors
L. Diening، نويسنده , , M. R°u?i?cka ?، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2004
Pages
17
From page
572
To page
588
Abstract
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 Lp(·). In particular this yields W2,p(·)-estimates in
Rd+1
for the Laplace equation and the Stokes system.
2004 Elsevier Inc. All rights reserved
Keywords
Calder?n–Zygmund theorem , Generalized Lebesgue spaces Lp(·) , Singular integral operator
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2004
Journal title
Journal of Mathematical Analysis and Applications
Record number
931485
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