A fractional Hardy-Sobolev-Maz’ya inequality on the upper halfspace

Sloane, Craig

doi:10.1090/S0002-9939-2011-10818-9

A fractional Hardy-Sobolev-Maz’ya inequality on the upper halfspace
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by Craig A. Sloane PDF

Proc. Amer. Math. Soc. 139 (2011), 4003-4016 Request permission

Abstract:

We prove two Sobolev-type inequalities, which are then used to establish a fractional Hardy-Sobolev-Maz’ya inequality on the upper halfspace.

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