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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2009 Volume 50, Number 1, Pages 63–74 (Mi smj1937)
This article is cited in 2 papers

The Sobolev–Il'in theorem for the $B$-Riesz potential

V. S. Guliev, N. N. Garakhanova

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

Abstract: We study the Riesz potentials that are generated by the generalized shift operator associated to the Laplace–Bessel operator. We obtain an analog of the Sobolev–Il'in theorem for the $B$-Riesz potential.

Keywords: generalized shift operator, $B$-Riesz potential, Sobolev–Il'in theorem.

UDC: 517.51

Received: 04.11.2006
Revised: 31.10.2007


 English version: Siberian Mathematical Journal, 2009, 50:1, 49–59

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© Steklov Math. Inst. of RAS, 2025