Central Fourier analysis for Lorentz spaces on compact Lie groups |
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Authors: | Saverio Giulini Giancarlo Travaglini |
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Institution: | (1) Dipartimento di Matematica, Universitá di Milano, Via Saldini 50, I-20133 Milano, Italy |
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Abstract: | We determine the critical indexes for theL
p,q uniform boundedness of the characters of a compact connected semisimple Lie group. These results show a basic difference between the simple and the semisimple case, a situation which does not appear when dealing withL
p spaces. We provide applications to the general theory of central functions on compact Lie groups. |
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Keywords: | |
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