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arXiv · 1905.11776

Convolution structures for an Orlicz space with respect to vector measures on a compact group

Manoj Kumar·N. Shravan Kumar
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Abstract

The aim of this paper is to present some results about the space L^\Phi(\nu), where \nu is a vector measure on a compact (not necessarily abelian) group and \Phi is a Young function. We show that under certain conditions, the space L^\Phi(\nu) becomes an L^1(G)-module with respect to the usual convolution of functions. We also define one more convolution structure on L^\Phi(\nu).

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Manoj Kumar, N. Shravan Kumar. 2019-05-28. Convolution structures for an Orlicz space with respect to vector measures on a compact group. https://arxiv.org/abs/1905.11776

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