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

DOI10.1090/S0002-9947-03-03139-8zbMath1026.43005arXivmath/0312244OpenAlexW2072062508WikidataQ115289114 ScholiaQ115289114MaRDI QIDQ4417275

Javier Parcet, José Manuel Marco, José García-Cuerva

Publication date: 28 July 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312244

zbMATH Keywords

Fourier transformoperator spacesemisimple Lie groupcompact semisimple Lie groupFourier typecentral functionFourier cotypelocal Hausdorff-Young inequalitysharp Fourier typesharp Fourier type and cotype

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Semisimple Lie groups and their representations (22E46) Harmonic analysis on general compact groups (43A77)

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