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A Bilinear Fractional Integral on Compact Lie Groups

Published online by Cambridge University Press:  20 November 2018

Jiecheng Chen  and
Dashan Fan
Jiecheng Chen
Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou, Chinae-mail: jcchen@zju.edu.cn
Dashan Fan
Affiliation:
Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI 53217, U.S.A.e-mail: fan@uwm.edu
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Abstract

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

Keywords

43A2243A3243B25bilinear fractional integralLpspacesHeat kernel
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 54 , Issue 2 , 01 June 2011 , pp. 207 - 216
Copyright
Copyright © Canadian Mathematical Society 2011

References

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