Transactions of the American Mathematical Society

Author(s): José García-Cuerva; José Manuel Marco; Javier Parcet
Journal: Trans. Amer. Math. Soc. 355 (2003), 3591-3609.
MSC (2000): Primary 43A77; Secondary 22E46, 46L07
Posted: 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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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 43A77, 22E46, 46L07

José García-Cuerva
Affiliation: Department of Mathematics, Universidad Autónoma de Madrid, Madrid 28049, Spain
Email: jose.garcia-cuerva@uam.es

José Manuel Marco
Affiliation: Department of Mathematics, Universidad Autónoma de Madrid, Madrid 28049, Spain

Javier Parcet
Affiliation: Department of Mathematics, Universidad Autónoma de Madrid, Madrid 28049, Spain
Email: javier.parcet@uam.es

DOI: 10.1090/S0002-9947-03-03139-8
PII: S 0002-9947(03)03139-8
Keywords: Sharp Fourier type and cotype, Fourier transform, operator space, compact semisimple Lie group, central function, local Hausdorff-Young inequality
Received by editor(s): March 22, 2002
Posted: May 15, 2003
Additional Notes: Research supported in part by the European Commission via the TMR Network ``Harmonic Analysis'' and by Project BFM 2001/0189, Spain
Copyright of article: Copyright 2003, American Mathematical Society

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