The Cesaro maximal operator in dimension greater than one

[摘要] We consider a maximal operator defined on R-n which is related to the Cesaro alpha continuity of functions. We characterize the weights w for which the maximal operator is of weak type, strong type and restricted weak type (p, p) with respect to the measure w (x) dx. (C) 2003 Elsevier Inc. All rights reserved.

[发布日期] 2003-12-01