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

García-Cuerva, José; Marco, José; Parcet, Javier

doi:10.1090/S0002-9947-03-03139-8

Sharp Fourier type and cotype with respect to compact semisimple Lie groups
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by José García-Cuerva, José Manuel Marco and Javier Parcet

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

DOI: https://doi.org/10.1090/S0002-9947-03-03139-8

Published electronically: May 15, 2003

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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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