某类权模不等式

A KIND OF WEIGHTED NORM INEQUALITIES

推广了R^n中一个权模不等式.证明了若权函数满足B Muckenhoupt的C_q条件及双倍条件时,则二进Hardy—Littlewood极大函数可用二进的Fefferman—Stein的Sharp函数控制.

It is shown that if the weight function satisfies the C_q condition of B Muckenhoupt for some q>p and the 'doubling' condition then the weighted L^p norm of the Hardy-Littewood maximal funtion is bounded by the weighded L^p norm of Fefferman-Stein's Sharp function. Here only the dyadic case is considered.