Maximal functions along surfaces on product domains

摘要

In this paper, we study the L p boundedness for a class of maximal functions along surfaces in ℝ n × ℝ m of the form $n{ (varphi _1 (|u|)u'''',varphi _2 (|v|)v''''):(u,v) in mathbb{R}^n times mathbb{R}^m } .n$n{ (varphi _1 (|u|)u'''',varphi _2 (|v|)v''''):(u,v) in mathbb{R}^n times mathbb{R}^m } .