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2018•DOAJ (DOAJ: Directory of Open Access Journals)Open access

$L^p$-Conjecture on Hypergroups

Seyyed Mohammad Tabatabaie, F. Haghighifar

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Abstract

In this paper, we study $L^p$-conjecture on locally compact hypergroups and by some technical proofs we give some sufficient and necessary conditions for a weighted Lebesgue space $L^p(K,w)$ to be a convolution Banach algebra, where $1<p

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What this paper is about

In this paper, we study $L^p$-conjecture on locally compact hypergroups and by some technical proofs we give some sufficient and necessary conditions for a weighted Lebesgue space $L^p(K,w)$ to be a convolution Banach algebra, where $1<p

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Available abstract

In this paper, we study $L^p$-conjecture on locally compact hypergroups and by some technical proofs we give some sufficient and necessary conditions for a weighted Lebesgue space $L^p(K,w)$ to be a convolution Banach algebra, where $1<p

Key concepts: Mathematics, Conjecture, Haar measure, Convolution (computer science), Locally compact space, Lebesgue measure, Locally compact group, Banach algebra

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