Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator
| Data(s) |
28/08/2010
28/08/2010
2006
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|---|---|
| Resumo |
2000 Mathematics Subject Classification: 42B20, 42B25, 42B35 We consider the generalized shift operator, generated by the Laplace- Bessel differential operator [...] The Bn -maximal functions and the Bn - Riesz potentials, generated by the Laplace-Bessel differential operator ∆Bn are investigated. We study the Bn - Riesz potentials in the Bn - Morrey spaces and Bn - BMO spaces. An inequality of Sobolev - Morrey type is established for the Bn - Riesz potentials. * This paper has been partially supported by Grant of Azerbaijan-U.S. Bilateral Grants Program (Project ANSF Award / 3102). |
| Identificador |
Fractional Calculus and Applied Analysis, Vol. 9, No 1, (2006), 17p-32p 1311-0454 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Bn - Maximal Operator #Bn - Riesz Potential #Bn - Morrey Spaces #Sobolev-Morrey Type Estimates #42B20 #42B25 #42B35 |
| Tipo |
Article |
