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Published May 1, 2017 | Submitted
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Fractional Hardy-Sobolev-Maz'ya inequality for domains

Abstract

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.

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.)

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Additional details

Created:
August 19, 2023
Modified:
October 25, 2023