Transmutations, Singular and Fractional Differential Equations with Applications to
Mathematical Physics connects difficult problems with similar more simple ones. The book's …

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We prove that the anisotropic fractional maximal operator Mα, σ and the anisotropic Riesz
potential operator Iα, σ, 0< α<| σ| are bounded from the anisotropic modified Morrey space …

In this paper we obtain necessary and sufficient conditions on the parameters for the
boundedness of the Dunkl-type fractional maximal operator Mβ, and the Dunkl-type …

We consider the generalized shift operator, associated with the Laplace–Bessel differential
operator ΔB=∑ i= 1n∂ 2∂ xi2+∑ i= 1kγixi∂∂ xi. The maximal operator Mγ (B-maximal …

In this work, we develop the theory of hyperbolic equations with Bessel operators. We
construct and invert hyperbolic potentials generated by multidimensional generalized …

Abstract top 2000 Mathematics Subject Classification: 42B20, 42B25, 42B35We consider
the generalized shift operator, generated by the Laplace-Bessel differential operator [...] The …

В работе развивается теория гиперболических уравнений в частных производных с
операторами Бесселя, а также конструируются и обращаются гиперболические …

In this paper we introduced and studied the maximal function (G-maximal function) and the
Riesz potential (G-Riesz potential) generated by Gegenbauer differential operator G λ=(x 2 …

In this article a theory of fractional powers of a singular hyperbolic operator on arbitrary
spaces is discussed. We consider the problem of inversion of the mixed hyperbolic Riesz B …