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1. CMB 2010 (vol 54 pp. 207)

Chen, Jiecheng; Fan, Dashan
A Bilinear Fractional Integral on Compact Lie Groups
As an analog of a well-known theorem on 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:bilinear fractional integral, $L^p$ spaces, Heat kernel
Categories:43A22, 43A32, 43B25

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