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Fractional Hardy-Sobolev-Maz'ya inequality for domains

Dyda, Bartlomiej and Frank, Rupert L. (2011) Fractional Hardy-Sobolev-Maz'ya inequality for domains. . (Submitted)

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We prove a fractional version of the Hardy–Sobolev–Maz’ya inequality for arbitrary domains and Lp norms with p ≥ 2. This inequality combines the fractional Sobolev and the fractional Hardy inequality into a single inequality, while keeping the sharp constant in the Hardy inequality.

Item Type:Report or Paper (Discussion Paper)
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Additional Information:(Submitted on 29 Sep 2011) Work supported by the DFG through SFB-701 ’Spectral Structures and Topological Methods in Mathematics’ and by grant N N201 397137, MNiSW (B.D.) and by U.S. NSF grant PHY1068285 (R.L.F.)
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)SFB-701
Ministerstwo Nauki i Szkolnictwa Wyższego (MNiSW)N201 397137
Subject Keywords:fractional Hardy-Sobolev-Maz’ya inequality, fractional Hardy inequality
Classification Code:2010 MSC. Primary 26D10; Secondary 46E35, 31C25
Record Number:CaltechAUTHORS:20170501-094456500
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77099
Deposited By: Ruth Sustaita
Deposited On:01 May 2017 16:55
Last Modified:03 Oct 2019 17:53

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