某类权模不等式  

A KIND OF WEIGHTED NORM INEQUALITIES

作　　者：朱文革[1] 

机构地区：[1]复旦大学数学研究所

出　　处：《复旦学报（自然科学版）》1992年第3期326-329,共4页Journal of Fudan University：Natural Science

摘　　要：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.

关 键 词：算子演算 权函数 HARDY-LITTLEWOOD极大函数 Sharp函数 C_(q)条件 双倍条件 

分 类 号：O177.6[理学—数学]