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عنوان
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Weighted Lp- Conjecture for Homogeneous spaces
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نوع پژوهش
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مقاله چاپشده در مجله
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کلیدواژهها
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Burling algebra H, Hemogenous space, Topological group, Radon measur, Mackey Brouhat formula.
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چکیده
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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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پژوهشگران
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علی پناه فرجزاده (نفر اول)، بهروز الفتیان گیلان (Behrooz Olfatian Gillan) (نفر دوم)، محمد رضا امیدی (نفر سوم)
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