Some Intersections of the Weighted -Spaces

F. Abtahi, H. G. Amini, H. A. Lotfi and A. Rejali

Abstract and Applied Analysis, 2013, vol. 2013, 1-12

Abstract:

Let be a locally compact group an arbitrary family of the weight functions on and . The locally convex space as a subspace of is defined. Also, some sufficient conditions for that space to be a Banach space are provided. Furthermore, for an arbitrary subset of and a positive submultiplicative weight function on , Banach subspace of is introduced. Then some algebraic properties of , as a Banach algebra under convolution product, are investigated.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:986857

DOI: 10.1155/2013/986857

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