Weight Dependent Convolution on Beurling Spaces and Multipliers
DOI:
https://doi.org/10.5644/SJM.19.02.03Keywords:
weight, Beurling space, convolution, Banach algebra, multiplierAbstract
In this paper, some properties of a generalized translation operator are obtained. A weight dependent convolution product on Beurling spaces is studied. A convolution theorem related to a weight Fourier transform is obtained. Multipliers for the pair
$(\mathcal{L}_{\omega}^{1}(G),\mathcal{L}_{\omega}^{p}(G))$ are introduced.
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Abstract: 52 / PDF: 28
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