Maximal functions along surfaces in product spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:316

Article

Le, HV

关键词: maximal function;    Hardy-Littlewood maximal function;    product space;    along surface;   

DOI  :  10.1016/j.jmaa.2005.04.054

来源: Elsevier

【 摘 要 】

Under certain natural conditions of a measurable radial function Gamma : R-n x R-m -> R, Gamma (y1, y2) Gamma(vertical bar y(1)vertical bar, vertical bar y(2)vertical bar), we show that the maximal function along surface M Gamma f(x(1), x(2), x(3)) [GRAPHICS] is bounded in L P (R-n x R-m x R) for all p > 1 and n, m >= 1. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free