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Hausdorff–Young Inequalities for Group Extensions

Published online by Cambridge University Press:  20 November 2018

Hartmut Führ
Hartmut Führ*
Affiliation:
Institute of Biomathematics and Biometry, GSF Research Center for Environment and Health, D-85764 Neuherberg, Germany e-mail: [email protected]
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Abstract

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This paper studies Hausdorff–Young inequalities for certain group extensions, by use of Mackey's theory. We consider the case in which the dual action of the quotient group is free almost everywhere. This result applies in particular to yield a Hausdorff–Young inequality for nonunimodular groups.

Keywords

43A3043A15.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 4 , 01 December 2006 , pp. 549 - 559
Copyright
Copyright © Canadian Mathematical Society 2006

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