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

Javier Parcet; Jos\'e Garc\'ia-Cuerva; Jos\'e Manuel Marco

arxiv: math/0312244 · v1 · submitted 2003-12-11 · 🧮 math.RT · math.GR

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

Jos\'e Garc\'ia-Cuerva , Jos\'e Manuel Marco , Javier Parcet This is my paper

classification 🧮 math.RT math.GR

keywords compactcotypefouriergroupsrespectsemisimplesharptype

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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.

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

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