Hausdorff--Young Inequalities for Group Extensions
Printed: Dec 2006
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
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.