Trace Hardy--Sobolev--Maz'ya inequalities for the half fractional Laplacian
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Bibliographic record
Abstract
In this work we establish traceHardy-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 produceHardy-Sobolev-Maz'ya inequalities for the spectral half Laplacian. This covers a criticalcase left open in [9].
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