most citedA Fractional Hardy-Sobolev-Maz'ya Inequality on the Upper Halfspace

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math.FA2010★ 1 cited

A Fractional Hardy-Sobolev-Maz'ya Inequality on the Upper Halfspace

Craig A. Sloane

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

math.AP2009

Hardy inequalities for fractional integrals on general domains

Michael Loss, Craig Sloane

We prove a sharp Hardy inequality for fractional integrals for functions that are supported on a general domain. The constant is the same as the one for the half-space and hence ou…