Sharp Fourier type and cotype with respect to compact semisimple Lie groups

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Sharp Fourier type and cotype of Lebesgue spaces and Schatten classes with respect to an arbitrary compact semisimple Lie group are investigated. In the process, a local variant of the Hausdorff-Young inequality on such groups is given.
18 pages

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Representation Theory, Group Theory, 43A77; 22E46; 46L07

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http://salesiana.dossiersoluciones.com/handle/123456789/69573

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312244
 http://arxiv.org/abs/math/0312244
 Trans. Amer. Math. Soc. 355 (2003), 3591-3609

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arXiv