Integral operators on the halfspace in generalized Lebesgue spaces Lp(·), part II

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