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# Hausdorff--Young Inequalities for Group Extensions

Published:2006-12-01
Printed: Dec 2006
• Hartmut Führ
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## Abstract

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.
 MSC Classifications: 43A30 - Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. 43A15 - $L^p$-spaces and other function spaces on groups, semigroups, etc.