Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1240

 Title: Best Constant in the Weighted Hardy Inequality: The Spatial and Spherical Version Authors: Samko, Stefan Keywords: Hardy InequalityRellich InequalityFractional PowersRiesz PotentialsBeltrami-Laplace OperatorStereographic Projection26D10 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. URI: http://hdl.handle.net/10525/1240 ISSN: 1311-0454 Appears in Collections: 2005

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