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Title: Best Constant in the Weighted Hardy Inequality: The Spatial and Spherical Version
Authors: Samko, Stefan
Keywords: Hardy Inequality
Rellich Inequality
Fractional Powers
Riesz Potentials
Beltrami-Laplace Operator
Stereographic Projection
Issue Date: 2005
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Fractional Calculus and Applied Analysis, Vol. 8, No 1, (2005), 39p-52p
Abstract: 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.
Description: Mathematics Subject Classification: 26D10.
ISSN: 1311-0454
Appears in Collections:2005

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