Best Constant in the Weighted Hardy Inequality: The Spatial and Spherical Version
| Data(s) |
27/08/2010
27/08/2010
2005
|
|---|---|
| Resumo |
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. |
| Identificador |
Fractional Calculus and Applied Analysis, Vol. 8, No 1, (2005), 39p-52p 1311-0454 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Hardy Inequality #Rellich Inequality #Fractional Powers #Riesz Potentials #Beltrami-Laplace Operator #Stereographic Projection #26D10 |
| Tipo |
Article |
