Geodesic
Best Constant in the Weighted Hardy Inequality: The Spatial and Spherical Version
Fractional calculus and applied analysis, Tome 8 (2005) no. 1, pp. 39-52.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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.
Keywords: Hardy Inequality, Rellich Inequality, Fractional Powers, Riesz Potentials, Beltrami-Laplace Operator, Stereographic Projection, 26D10 
@article{FCAA_2005_8_1_a1,
     author = {Samko, Stefan},
     title = {Best {Constant} in the {Weighted} {Hardy} {Inequality:} {The} {Spatial} and {Spherical} {Version}},
     journal = {Fractional calculus and applied analysis},
     pages = {39--52},
     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/FCAA_2005_8_1_a1/}
}
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
SP  - 39
EP  - 52
VL  - 8
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FCAA_2005_8_1_a1/
LA  - en
ID  - FCAA_2005_8_1_a1
ER  - 
%0 Journal Article
%A Samko, Stefan
%T Best Constant in the Weighted Hardy Inequality: The Spatial and Spherical Version
%J Fractional calculus and applied analysis
%D 2005
%P 39-52
%V 8
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FCAA_2005_8_1_a1/
%G en
%F FCAA_2005_8_1_a1
Samko, Stefan. Best Constant in the Weighted Hardy Inequality: The Spatial and Spherical Version. Fractional calculus and applied analysis, Tome 8 (2005) no. 1, pp. 39-52. http://geodesic.mathdoc.fr/item/FCAA_2005_8_1_a1/