# Best Constant in the Weighted Hardy Inequality: The Spatial and Spherical Version

Fractional Calculus and Applied Analysis (2005)

- Volume: 8, Issue: 1, page 39-52
- ISSN: 1311-0454

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topSamko, Stefan. "Best Constant in the Weighted Hardy Inequality: The Spatial and Spherical Version." Fractional Calculus and Applied Analysis 8.1 (2005): 39-52. <http://eudml.org/doc/11269>.

@article{Samko2005,

abstract = {Mathematics Subject Classification: 26D10.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.},

author = {Samko, Stefan},

journal = {Fractional Calculus and Applied Analysis},

keywords = {26D10},

language = {eng},

number = {1},

pages = {39-52},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Best Constant in the Weighted Hardy Inequality: The Spatial and Spherical Version},

url = {http://eudml.org/doc/11269},

volume = {8},

year = {2005},

}

TY - JOUR

AU - Samko, Stefan

TI - Best Constant in the Weighted Hardy Inequality: The Spatial and Spherical Version

JO - Fractional Calculus and Applied Analysis

PY - 2005

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 8

IS - 1

SP - 39

EP - 52

AB - Mathematics Subject Classification: 26D10.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.

LA - eng

KW - 26D10

UR - http://eudml.org/doc/11269

ER -

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