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arXiv · 1902.08393

The Banach Algebra of Functions With Fourier Transforms in Weighted Amalgam Spaces

Cihan Unal·Ismail Aydin
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Abstract

In this paper, we define $A_{\vartheta _{1},\vartheta _{2}}^{p,1,q,r}\left(G\right) $ to be space of all functions in $\left( L_{\vartheta_{1}}^{p},\ell ^{1}\right) $ whose Fourier transforms belong to $\left( L_{\vartheta _{2}}^{q},\ell ^{r}\right) .$ Moreover, we consider the basic and advance properties of this space including Banach algebra, translation invariant, Banach module, a generalized type of Segal algebra etc. Also, we study some inclusions, compact embeddings in sense to weights and further discuss multipliers of this space.

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BibTeXRIS

Cihan Unal, Ismail Aydin. 2019-02-22. The Banach Algebra of Functions With Fourier Transforms in Weighted Amalgam Spaces. https://arxiv.org/abs/1902.08393

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