The best constant in a fractional Hardy inequality

Abstract

We prove an optimal Hardy inequality for the fractional Laplacian on the half-space.

arXiv comment10 pages

References in corpus (4)

• Estimates and structure of $\alpha$-harmonic functions
• On the best possible remaining term in the Hardy Inequality
• Boundary Harnack inequalities for regional fractional Laplacian
• Hardy-Lieb-Thirring inequalities for fractional Schroedinger operators

Cited by in corpus (1)

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