On the vector valued Hausdorff-Young inequality
Identifieur interne : 001714 ( Main/Exploration ); précédent : 001713; suivant : 001715On the vector valued Hausdorff-Young inequality
Auteurs : Mats Erik Andersson [Suède]Source :
- Arkiv för Matematik [ 0004-2080 ] ; 1998-03-01.
Abstract
Abstract: This paper studies Banach space valued Hausdorff-Young inequalities. The largest part considers ways of changing the underlying group. In particular the possibility to deduce the inequality for open subgroups as well as for quotient groups arising from compact subgroups is secured. A large body of results concerns the classical groupsT n ,R n andZ k . Notions of Fourier type are introduced and they are shown to be equivalent to properties expressed by finite groups alone.
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DOI: 10.1007/BF02385664
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