Sharp weak bounds for <Emphasis Type="Italic">n</Emphasis>-dimensional fractional Hardy operators |
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| Authors: | Haixia Yu Junfeng Li |
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| Institution: | 1.Laboratory of Mathematics and Complex Systems (Beijing Normal University), Ministry of Education; School of Mathematical Sciences,Beijing Normal University,Beijing,China |
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| Abstract: | We obtain the operator norms of the n-dimensional fractional Hardy operator H α (0 < α < n) from weighted Lebesgue spaces \(L_{\left| x \right|^\rho }^p (\mathbb{R}^n )\) to weighted weak Lebesgue spaces \(L_{\left| x \right|^\beta }^{q,\infty } (\mathbb{R}^n )\). |
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