BulDML at Institute of Mathematics and Informatics: Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator

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BulDML at Institute of Mathematics and Informatics >
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Fractional Calculus and Applied Analysis >
2006 >

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, Vagif Hasanov, Javanshir
Keywords:	Bn - Maximal Operator Bn - Riesz Potential Bn - Morrey Spaces Sobolev-Morrey Type Estimates 42B20 42B25 42B35
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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