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April 2019 On some compact embeddings of a weighted space
Cihan Unal, Ismail Aydin
Tbilisi Math. J. 12(2): 29-45 (April 2019). DOI: 10.32513/tbilisi/1561082565

Abstract

In this paper, we define an intersection spaces between weighted classical Lebesgue spaces and an amalgam space with two weight functions on a locally compact abelian group with Haar measure. We consider the basic properties of the space such as Banach algebra, translation invariant, Banach module, a generalized type of Segal algebra etc. Also, we investigate some inclusions, compact embeddings in sense to weights and further discuss multipliers of this space.

Citation

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Cihan Unal. Ismail Aydin. "On some compact embeddings of a weighted space." Tbilisi Math. J. 12 (2) 29 - 45, April 2019. https://doi.org/10.32513/tbilisi/1561082565

Information

Received: 8 August 2018; Accepted: 20 February 2019; Published: April 2019
First available in Project Euclid: 21 June 2019

zbMATH: 07172310
MathSciNet: MR3973257
Digital Object Identifier: 10.32513/tbilisi/1561082565

Subjects:
Primary: 43A15
Secondary: 43A22, 46E30

Rights: Copyright © 2019 Tbilisi Centre for Mathematical Sciences

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Vol.12 • No. 2 • April 2019
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