On the Hausdorff-Young theorem for Hilbert vector valued Besicovitch a.p. functions spaces

On the Hausdorff-Young theorem for Hilbert vector valued Besicovitch a.p. functions spaces

We give the extension of the classical H-Y theorem for periodic Lpfunctions to Besicovitch almost periodic functions, defined on IRs and with values in a vector-valued Hilbert Space IH. The generalization of the Riesz-Fischer theorem is also given.

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Veröffentlicht in:Rendiconti di matematica e delle sue applicazioni (1981) 1996-03, Vol.16 (1), p.143-152
1. Verfasser: A.M. BERSANI
Format: Artikel
Sprache:eng
Schlagworte:
almost periodic functions
bohr transform
fourier series
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Zusammenfassung:We give the extension of the classical H-Y theorem for periodic Lpfunctions to Besicovitch almost periodic functions, defined on IRs and with values in a vector-valued Hilbert Space IH. The generalization of the Riesz-Fischer theorem is also given.
ISSN:1120-7183
2532-3350