FOURIER TRANSFORMATION AND SINGULAR INTEGRALS ON SELF-SIMILAR MEASURE  

作　　者：Wu Baoyi Su Weiyi, Nanjing University, China Department of Mathematics Nanjing University Nanjing 210093 PRC 

出　　处：《Analysis in Theory and Applications》1998年第4期102-114,共13页分析理论与应用（英文刊）

摘　　要：This paper serves two purposes. One is to modify Strichartz's results with respect to the asymptotic averages of the Fourier transform of μ on , self-similar measure defined by Hutchinson. Another purpose is to consider a singular integral operator on μ and show that this op- erator is of type (p,p)(1<p<∞).This paper serves two purposes. One is to modify Strichartz's results with respect to the asymptotic averages of the Fourier transform of μ on , self-similar measure defined by Hutchinson. Another purpose is to consider a singular integral operator on μ and show that this op- erator is of type (p,p)(1<p<∞).

关 键 词：SHOW FOURIER TRANSFORMATION AND SINGULAR INTEGRALS ON SELF-SIMILAR MEASURE MATH APPI 

分 类 号：O174[理学—数学]