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عنوان
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Weigted Lp-conjecture for homogeneous spaces
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نوع پژوهش
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ارائه مقاله در کنفرانسهای علمی
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کلیدواژهها
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Homogeneous space, Locally compact group, Weight function, Beurling algebra.
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چکیده
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We consider the homogeneouse 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. Let 1 ≤ p < ∞ and ω is a weight function on the homogeneous space G/H. Here, we give a sufficient condition for that the weighted Lp-space Lp ω(G/H) is a Banach algebra, i.e. for 1 ≤ p < ∞, we introduce a new Beurling algebras Lp ω(G/H).
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پژوهشگران
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بهروز الفتیان گیلان (Behrooz Olfatian Gillan) (نفر اول)
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