On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials
| Data(s) |
29/08/2010
29/08/2010
2009
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| Resumo |
Mathematics Subject Classification: Primary 42B20, 42B25, 42B35 In this paper we study the Riesz potentials (B-Riesz potentials) generated by the Laplace-Bessel differential operator ∆B [...]. We establish an inequality of Stein-Weiss type for the B-Riesz potentials in the limiting case, and obtain the boundedness of the B-Riesz potential operator from the space Lp,|x|β,γ to BMO|x|−λ,γ. * Emin Guliyev’s research partially supported by the grant of INTAS YS Collaborative Call with Azerbaijan 2005 (INTAS Ref. Nr 05-113-4436). |
| Identificador |
Fractional Calculus and Applied Analysis, Vol. 12, No 1, (2009), 39p-46p 1311-0454 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Laplace-Bessel Differential Operator #Generalized Shift Operator #B-Riesz Potential #Weighted B-Bmo Spaces #Stein-Weiss Type Inequality #Weighted Lebesgue Space #42B20 #42B25 #42B35 |
| Tipo |
Article |
