International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 55, Pages 3503-3517
Compactness in Wiener amalgams on locally compact groups
Department of Mathematics, Rani Durgawati University, Jabalpur, India
Received 18 December 2002
Copyright © 2003 S. S. Pandey. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We study the compactness of bounded subsets in a Wiener amalgam
whose local and global components are solid Banach function (BF)
spaces on a locally compact group. Our main theorem
provides a generalization of the corresponding results of Feichtinger. This paper paves the way for the study
of compact multiplier operators on general Wiener amalgams on the
lines of Feichtinger.