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

2003/12/11 by José García-Cuerva, José Manuel Marco, Javier Parcet
Mathematics · #math.RT #math.GR #msc:43A77 #msc:22E46 #msc:46L07

paper · pdf

published as Trans. Amer. Math. Soc. 355 (2003), 3591-3609 · 18 pages

arxiv created 2003/12/11 · arxiv updated 2009/12/01

Abstract

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.

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