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Compactness in Wiener amalgams on locally compact groups

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  • S. S. Pandey

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.

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  • S. S. Pandey, 2003. "Compactness in Wiener amalgams on locally compact groups," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-15, January.
    • Handle: RePEc:hin:jijmms:906058
    DOI: 10.1155/S0161171203212205
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