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arXiv · 1905.05971

Orlicz Modules over Coset Spaces of Compact Subgroups in Locally compact Groups

Vishvesh Kumar
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Abstract

Let $H$ be a compact subgroup of a locally compact group $G$ and let $m$ be the normalized $G$-invariant measure on homogeneous space $G/H$ associated with Weil's formula. Let $\varphi$ be a Young function satisfying $\Delta_2$-condition. We introduce the notion of left module action of $L^1(G/H, m)$ on the Orlicz spaces $L^\varphi(G/H, m).$ We also introduce a Banach left $L^1(G/H, m)$-submodule of $L^\varphi(G/H, m).$

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Vishvesh Kumar. 2019-05-15. Orlicz Modules over Coset Spaces of Compact Subgroups in Locally compact Groups. https://arxiv.org/abs/1905.05971

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