Weighted Estimates for Marcinkiewicz Integrals with Non-Doubling Measures  

作　　者：Songbai WANG Yinsheng JIANG Baode LI 

机构地区：[1]College of Mathematics and System Sciences,Xinjiang University,Xinjiang 830046,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2012年第2期223-234,共12页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 10861010)

摘　　要：Le be a nonnegative Radon measure on Rd which satisfies the growth condition （B（x, r）） Cotfor all x E Rd and r 〉 O, where Co is a fixed constant and 0 〈 n d. The purpose of this paper is to establish the boundedness of the Marcinkiewicz integrals from LP（u） to LP（u）, where u is a weight function of Muckenhoupt type associated with ~.Le be a nonnegative Radon measure on Rd which satisfies the growth condition （B（x, r）） Cotfor all x E Rd and r 〉 O, where Co is a fixed constant and 0 〈 n d. The purpose of this paper is to establish the boundedness of the Marcinkiewicz integrals from LP（u） to LP（u）, where u is a weight function of Muckenhoupt type associated with ~.

关 键 词：maximal singular integrals Muckenhoupt type weights sharp maximal operators non-doubling measures. 

分 类 号：O174.2[理学—数学] O174.12[理学—基础数学]