A Bilinear Fractional Integral on Compact Lie Groups

Canadian mathematical bulletin

Dashan Fan¹  Jiecheng Chen² 

[1] Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI 53217, U.S.A.;Department of Mathematics, Zhejiang University, Hangzhou, China

关键词: bilinear fractional integral;    $L^p$ spaces;    Heat kernel;   

DOI  :  10.4153/CMB-2010-096-9

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

As an analog of a well-known theorem on the bilinearfractional integral on $mathbb{R}^{n}$ by Kenig and Stein,we establish the similar boundednessproperty for a bilinear fractional integral on a compact Lie group. Ourresult is also a generalization of our recent theorem about thebilinear fractional integral on torus.

【 授权许可】

Unknown