一些次线性算子在非齐性弱Herz空间中的有界性(英文)  

Boundedness of Some Sublinear Operators on Weak Herz Space with Non-doubling Measures

作　　者：李亮[1] 赵发友[1] 

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《新疆大学学报（自然科学版）》2007年第1期31-34,共4页Journal of Xinjiang University(Natural Science Edition)

基　　金：Project 10261007 supported by NSFC.

摘　　要：本文在具有仅满足增长性条件测度μ的非齐性空间上引入了弱H erz空间,并讨论了某些次线性算子在该空间上的有界性;特别的,我们得到了分数次积分算子的有界性.Let μ be a Radon measure on R^d satisfying just a mild growth condition,namely that the measure of each ball is controlled by a fixed power of its radius. The main purpose of this paper is to consider the houndedness of a class of suhlinear operators on weak Herz space with non-doubling measures. As special cases ,we obtain the houndedness of fractional operators.

关 键 词：非齐性空间 非倍测度 弱HERZ空间 次线性算子 分数次积分算子 

分 类 号：O177[理学—数学]