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.
Citation
F. Abtahi. H. G. Amini. H. A. Lotfi. A. Rejali. "Some Intersections of the Weighted -Spaces." Abstr. Appl. Anal. 2013 1 - 12, 2013. https://doi.org/10.1155/2013/986857
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