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

Abstract

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

arXiv comment13 pages

References in corpus (1)

• The best constant in a fractional Hardy inequality

Cited by in corpus (1)

• Fractional Hardy-Sobolev-Maz'ya inequality on balls and halfspaces