Some Intersections of the Weighted -Spaces | Zendy

Fatemeh Abtahi | Zendy; H. G. Amini | Zendy; H. A. Lotfi | Zendy; Ali Rejali | Zendy

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Some Intersections of the Weighted -Spaces

Author(s) -

Fatemeh Abtahi,

H. G. Amini,

H. A. Lotfi,

Ali Rejali

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/986857

Subject(s) - mathematics , convolution (computer science) , banach space , subspace topology , pure mathematics , approximation property , algebraic number , space (punctuation) , banach manifold , lp space , regular polygon , discrete mathematics , mathematical analysis , linguistics , philosophy , geometry , machine learning , artificial neural network , computer science

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

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