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

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

2003-12-11

arxiv.org/abs/math/0312244v1

Trans. Amer. Math. Soc. 355 (2003), 3591-3609

Mathematics

Representation Theory

18 pages

Scientific paper

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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