Fractional Hardy-Sobolev-Maz'ya inequality for domains
By Bartłomiej Dyda, Rupert L. Frank. 2011
58 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/c4a8ddbfd081281da091ad40fedfcbdd01de4c2d
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In Applied Mathematics
- Lorenzo Brasco
- Lenka Slav'ikov'a
- Andrea Cianchi
- Antti V. Vahakangas
- L. Pick
- A. Alberico
- Giovanni Franzina
- Bartłomiej Dyda
Citations in the corpus
- Convexity properties of Dirichlet integrals and Picone-type inequalities (2014, background): “Other fractional Hardy inequalities have appeared in the literature, see [6, 15].”
- A framework for fractional Hardy inequalities (2013, background): “In [9] these results are further refined; let us also mention the other related papers [4, 8, 11, 12, 34].”
- Fractional Orlicz-Sobolev embeddings (2020, background): “A touch of recent contributions in this connection is furnished by [7, 8, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 41, 44, 45, 51, 52, 53, 58, 59, 61, 62, 63, 64, 65, 68, 70, 71, 77, 76, 78, 83, 86].”