ON THE MIXED RADIAL-ANGULAR INTEGRABILITY OF MARCINKIEWICZ INTEGRALS WITH ROUGH KERNELS  

作　　者：Ronghui LIU Feng LIU Huoxiong WU 刘荣辉;刘风;伍火熊(School of Mathematical Sciences,Xiamen University,Xiamen 361005,China;College of Mathematics and System Science,Shandong University of Science and Technology,Qingdao 266590,China)

机构地区：[1]School of Mathematical Sciences,Xiamen University,Xiamen 361005,China [2]College of Mathematics and System Science,Shandong University of Science and Technology,Qingdao 266590,China

出　　处：《Acta Mathematica Scientia》2021年第1期241-256,共16页数学物理学报（B辑英文版）

基　　金：supported by the NSFC(11771358,11701333,11871101)。

摘　　要：This paper studies the mixed radial-angular integrability of parametric Marcinkiewicz integrals along"polynomial curves".Under the assumption that the kernels satisfy certain rather weak size conditions on the unit sphere with radial roughness,the authors prove that such operators are bounded on the mixed radial-angular spaces.Meanwhile,corresponding vector-valued versions are also obtained.

关 键 词：Marcinkiewicz integrals rough kernels mixed radial-angular spaces 

分 类 号：O172.2[理学—数学]