分数次积分算子的若干新进展  

Recent Progress in the Research on the Fractional Integral Operator

作　　者：张璞[1] 

机构地区：[1]浙江大学数学系西溪校区,浙江杭州310028

出　　处：《徐州建筑职业技术学院学报》2003年第1期33-36,共4页Journal of XUZHOU Institute of Architectural Technology

摘　　要：Riesz位势是调和分析中的重要算子 ,具有齐性核或粗糙核的分数次积分 ,是围绕Riesz位势发展起来的一个非常活跃的课题 .近年来 ,关于齐性核 (粗糙核 )分数次积分算子在各种空间上有界性的研究取得了丰富的成果 .Riesz potential is an important operator in harmonic analysis,and fractional integral with a homogeneous kernel or a coarse kernel is a lively field arising from researches on Riesz potential.Recent years have seen rich achievements about the boundedness of the fractional integral operator with a homogeneous(coarse) kernel in different spaces.Some open problems are mapped out as well as a summary of recent progress in the researches on the fractional integral operator.

关 键 词：分数次积分算子 RIESZ位势 调和分析 Dini-条件 HARDY空间 HERZ型HARDY空间 加权有界性 

分 类 号：O241.86[理学—计算数学]