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2013 Some Intersections of the Weighted L p -Spaces
F. Abtahi, H. G. Amini, H. A. Lotfi, A. Rejali
Abstr. Appl. Anal. 2013: 1-12 (2013). DOI: 10.1155/2013/986857


Let G be a locally compact group Ω an arbitrary family of the weight functions on G, and 1 p < . The locally convex space I L p ( G , Ω ) as a subspace of ω Ω L p ( G , ω ) is defined. Also, some sufficient conditions for that space to be a Banach space are provided. Furthermore, for an arbitrary subset J of [ 1 , ) and a positive submultiplicative weight function ω on G , Banach subspace I L J ( G , ω ) of p J L p ( G , ω ) is introduced. Then some algebraic properties of I L J ( G , ω ) , as a Banach algebra under convolution product, are investigated.


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F. Abtahi. H. G. Amini. H. A. Lotfi. A. Rejali. "Some Intersections of the Weighted L p -Spaces." Abstr. Appl. Anal. 2013 1 - 12, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1313.43001
MathSciNet: MR3121403
Digital Object Identifier: 10.1155/2013/986857

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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