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

José García-Cuerva·José Manuel Marco·Javier Parcet
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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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José García-Cuerva, José Manuel Marco, Javier Parcet. 2003-12-11. Sharp Fourier type and cotype with respect to compact semisimple Lie groups. https://arxiv.org/abs/math/0312244

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