A PARABOLIC SINGULAR INTEGRAL OPERATOR WITH ROUGH KERNEL

Journal of the Australian Mathematical Society

YANPING CHEN¹ 

[1] YONG DING

关键词: 42B20;    42B25;   

DOI  :  10.1017/S144678870800027X

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let Ω(y′) be an H1(Sn−1) function on the unit sphere satisfying a certain cancellation condition. We study the Lp boundedness of the singular integral operatorwhere α≥n and ρ is a norm function which is homogeneous with respect to certain nonistropic dilation. The result in the paper substantially improves and extends some known results.

【 授权许可】

Unknown