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arXiv · 1409.4519

Trace Hardy--Sobolev--Mazy'a inequalities for the half fractional Laplacian

Stathis Filippas·Luisa Moschini·Achilles Tertikas
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Abstract

In this work we establish trace Hardy-Sobolev-Maz'ya inequalities with best Hardy constants, for weakly mean convex domains. We accomplish this by obtaining a new weighted Hardy type estimate which is of independent inerest. We then produce Hardy-Sobolev-Maz'ya inequalities for the spectral half Laplacian. This covers a critical case left open in \cite{FMT1}.

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Stathis Filippas, Luisa Moschini, Achilles Tertikas. 2014-09-16. Trace Hardy--Sobolev--Mazy'a inequalities for the half fractional Laplacian. https://arxiv.org/abs/1409.4519

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