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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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Burling algebra H, Hemogenous space, Topological group, Radon measur, Mackey Brouhat formula.
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Abstract
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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 is considered. The weighted L^p-spaces L^p_ω(G/H) for 1 ≤ p < ∞ are introduced and the suitable conditions for these spaces to become Banach algebras are investigated. In this direction a new class of Beurling algebras is introduced and then some fundamental properties of the new class of Beurling algebras are characterized.
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Researchers
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Mohammad Reza Omidi (Third Researcher), Behrooz Olfatian Gillan (Second Researcher), Ali Panah Farajzadeh (First Researcher)
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