Geodesic
A Bilinear Fractional Integral on Compact Lie Groups
Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 207-216

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DOI

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.
DOI : 10.4153/CMB-2010-096-9
Mots-clés : 43A22, 43A32, 43B25, bilinear fractional integral, Lp spaces, Heat kernel 
Chen, Jiecheng; Fan, Dashan. A Bilinear Fractional Integral on Compact Lie Groups. Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 207-216. doi: 10.4153/CMB-2010-096-9
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     title = {A {Bilinear} {Fractional} {Integral} on {Compact} {Lie} {Groups}},
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     year = {2011},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-096-9/}
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