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

Samko, 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 -