Results 31 to 40 of about 497,921 (244)
Boundedness of the pseudo-differential Bessel operators on Sobolev and Bessel potential spaces
Lobachevskii Journal of Mathematics, 2022 Abstract An n-dimensional pseudo-differential Bessel operators Bα,a involving the multidimensional Fourier-Bessel transformation is defined. Then, we introduce some class of symbols and we prove that Bα,a are bounded on Sobolev and Bessel potentials spaces. Moreover, a generalized Bessel potential is defined and its properties are investigated.
Khelifi, Ch., Selmi, B.
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Some Inequalities for g-Frames in Hilbert C*-Modules
Mathematics, 2018 In this paper, we obtain new inequalities for g-frames in Hilbert C * -modules by using operator theory methods, which are related to a scalar λ ∈ R and an adjointable operator with respect to two g-Bessel sequences.
Zhong-Qi Xiang
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An application of the generalized Bessel function [PDF]
Mathematica Bohemica, 2017 We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.
Hanan Darwish +2 more
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The Extended Bessel-Maitland Function and Integral Operators Associated with Fractional Calculus
Journal of Mathematics, 2020 The aim of this paper is to introduce a presumably and remarkably altered integral operator involving the extended generalized Bessel-Maitland function. Particular properties are considered for the extended generalized Bessel-Maitland function connected ...
Kelelaw Tilahun +2 more
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Upper Bounds for the Euclidean Operator Radius and Applications [PDF]
, 2006 The main aim of the present paper is to establish various sharp upper bounds for the Euclidean operator radius of an n−tuple of bounded linear operators on a Hilbert space.
Dragomir, Sever S
core +3 more sources
Expansion in Series of Bessel Functions and Transmutations for Perturbed Bessel Operators
Journal of Mathematical Analysis and Applications, 1994 An earlier convergence result of the second and third authors [SIAM J. Math. Anal. 21, 1619-1632 (1990; Zbl 0736.34055)] is strengthened to show uniform convergence on a larger domain and some results are proved concerning a transmutation operator between two classes of perturbed Bessel operators.
Chebli, H., Fitouchi, A., Hamza, M.M.
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Nexo, 2010 En este trabajo se obtiene la inversión de un operador del tipo convolución usando técnicas de integrales hipersingulares. El operador de Bessel-Riesz de una función ϕ perteneciente a S , el espacio de funciones de prueba de Schwartz, es definido por la ...
Ruben Alejandro Cerutti
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On fractional powers of Bessel operators
, 2017 19 ...
Shishkina E.L., Sitnik S.M.
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Harmonic analysis operators associated with multidimensional Bessel operators [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2012 We establish that the maximal operator and the Littlewood–Paley g-function associated with the heat semigroup defined by multidimensional Bessel operators are of weak type (1, 1). We also prove that Riesz transforms in the multidimensional Bessel setting are of strong type (p, p), for every 1 < p < ∞, and of weak type (1, 1).
Betancor, J. J. +2 more
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General Euler-Poisson-Darboux Equation and Hyperbolic B-Potentials
Современная математика: Фундаментальные направления, 2019 In this work, we develop the theory of hyperbolic equations with Bessel operators. We construct and invert hyperbolic potentials generated by multidimensional generalized translation. Chapter 1 contains necessary notation, definitions, auxiliary facts and
E L Shishkina
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