On the Generalized Weighted Lebesgue Spaces of Locally Compact Groups

Let 𝐺 be a locally compact group with a fixed left Haar measure 𝜆 and Ω be a system of weights on 𝐺. In this paper, we deal with locally convex space 𝐿𝑝(𝐺,Ω) equipped with the locally convex topology generated by the family of norms (‖.‖𝑝,𝜔)𝜔∈Ω. We study various algebraic and topological properties...

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Bibliographic Details
Main Authors: I. Akbarbaglu, S. Maghsoudi
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/947908
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