In this work we establish trace Hardy and trace Hardy-Sobolev-Maz’ya inequalities with best Hardy constants, for domains satisfying suitable geometric assumptions such as mean convexity or convexity. We then use them to produce fractional Hardy-Sobolev-Maz’ya inequalities with best Hardy constants for the half fractional Laplacians. Fully covering in this way a missing part in a previous paper by the same authors in ARMA 2013.
Trace Hardy-Sobolev-Mazy'a inequalities for the half fractional Laplacian / S., Filippas; Moschini, Luisa; A., Tertikas. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - STAMPA. - vol 14:Issue 2(2015), pp. 373-382. [10.3934/cpaa.2015.14.373]
Trace Hardy-Sobolev-Mazy'a inequalities for the half fractional Laplacian
MOSCHINI, Luisa;
2015
Abstract
In this work we establish trace Hardy and trace Hardy-Sobolev-Maz’ya inequalities with best Hardy constants, for domains satisfying suitable geometric assumptions such as mean convexity or convexity. We then use them to produce fractional Hardy-Sobolev-Maz’ya inequalities with best Hardy constants for the half fractional Laplacians. Fully covering in this way a missing part in a previous paper by the same authors in ARMA 2013.| File | Dimensione | Formato | |
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