Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1269

 Title: Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator Authors: Guliyev, VagifHasanov, Javanshir Keywords: Bn - Maximal OperatorBn - Riesz PotentialBn - Morrey SpacesSobolev-Morrey Type Estimates42B2042B2542B35 Issue Date: 2006 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 9, No 1, (2006), 17p-32p Abstract: 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. Description: 2000 Mathematics Subject Classification: 42B20, 42B25, 42B35 URI: http://hdl.handle.net/10525/1269 ISSN: 1311-0454 Appears in Collections: 2006

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