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Title
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WEIGHTED Lp-CONJECTURE FOR HOMOGENEOUS SPACES
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Type
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JournalPaper
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Keywords
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Beurling algebra, Homogeneous space, Topological group, Radon measure, Mackey Brouhat formula.
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Abstract
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Abstract. We consider the homogeneous space G/H equipped with a strongly quasi-invariant Radon measure μ, where G is a locally compact group and H is a compact subgroup of G. In this paper, we introduce weighted Lp-spaces L p ω(G/H) for 1 ≤ p < ∞ and find the conditions for these spaces to become Banach algebra. In other words, we introduce a new class of Beurling algebras. Then we characterize some fundamental properties of these Beurling algebras.
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Researchers
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Amir Sahami (Fourth Researcher), Mohammad Reza Omidi (Third Researcher), Behrooz Olfatian Gillan (Second Researcher), Ali Panah Farajzadeh (First Researcher)
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