Convolution structures for an Orlicz space with respect to vector measures on a compact group
Functional Analysis
2019-05-29 v1
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).
Keywords
Cite
@article{arxiv.1905.11776,
title = {Convolution structures for an Orlicz space with respect to vector measures on a compact group},
author = {Manoj Kumar and N. Shravan Kumar},
journal= {arXiv preprint arXiv:1905.11776},
year = {2019}
}
Comments
11 pages