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most citedSharp two-sided heat kernel estimates for critical Schrödinger operators on bounded domains

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math.AP2011★ 40 cited

Sharp Trace Hardy-Sobolev-Maz'ya Inequalities and the Fractional Laplacian

Stathis Filippas, Luisa Moschini, Achilles Tertikas

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 conv…