International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2003 / Article

Open Access

Volume 2003 |Article ID 906058 | https://doi.org/10.1155/S0161171203212205

S. S. Pandey, "Compactness in Wiener amalgams on locally compact groups", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 906058, 15 pages, 2003. https://doi.org/10.1155/S0161171203212205

Compactness in Wiener amalgams on locally compact groups

Received18 Dec 2002

Abstract

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.

Copyright © 2003 Hindawi Publishing Corporation. 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.


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