Compactness in Wiener amalgams on locally compact groups

S. S. Pandey

Type: Article

Publication Date: 2003-01-01

Citations: 3

DOI: https://doi.org/10.1155/s0161171203212205

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.

Locations

International Journal of Mathematics and Mathematical Sciences - View - PDF

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Action	Title	Year	Authors
+	Wiener Amalgams over Euclidean Spaces and Some of Their Applications	2020	Hans G. Feichtinger
+	L'integration dans les groupes topologiques et ses applications	1951	André Weil
+	New Results on Regular and Irregular Sampling Based on Wiener Amalgams	2020	Hans G. Feichtinger
+	Banach Spaces of Distributions of Wiener’s Type and Interpolation	1981	Hans G. Feichtinger
+	A unified approach to atomic decompositions via integrable group representations	1988	Hans G. Feichtinger Karlheinz Gröchenig
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+	Banach spaces related to integrable group representations and their atomic decompositions, I	1989	Hans G. Feichtinger Karlheinz Gröchenig
+	On the representation of functions by trigonometrical integrals	1926	Norbert Wiener
+	Compactness criteria for K�the spaces	1970	Sigrun Goes Robert Welland
+	Compactness in translation invariant Banach spaces of distributions and compact multipliers	1984	Hans G. Feichtinger