Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 8, No 1, (2005), 39p-52p
The sharp constant is obtained for the Hardy-Stein-Weiss inequality for
fractional Riesz potential operator in the space L^p(R^n, ρ) with the power
weight ρ = |x|^β. As a corollary, the sharp constant is found for a similar
weighted inequality for fractional powers of the Beltrami-Laplace operator
on the unit sphere.