Results 1 to 10 of about 431,197 (172)
Inversion of Riesz Potentials for Dunkl Transform
Journal of Function Spaces, 2018 The inversion of Riesz potentials for Dunkl transform when G=Z2d is given by using the generalized wavelet transforms. It is also proved that the Riesz potentials Iακ are automorphisms on the Semyanistyi-Lizorkin spaces.
Moyi Liu, Futao Song, Rongxin Wang
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Optimal weak estimates for Riesz potentials [PDF]
Comptes Rendus. Mathématique, 2023 In this note we prove a sharp reverse weak estimate for Riesz potentials \[ \Vert I_{s}(f)\Vert _{L^{\frac{n}{n-s},\infty }}\ge \gamma _sv_{n}^{\frac{n-s}{n}}\Vert f\Vert _{L^1}~\text{for ...
Huang, Liang, Tang, Hanli
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Characterization of Riesz and Bessel potentials on variable Lebesgue spaces [PDF]
Journal of Function Spaces and Applications, 2006 Riesz and Bessel potential spaces are studied within the framework of the Lebesgue spaces with variable exponent. It is shown that the spaces of these potentials can be characterized in terms of convergence of hypersingular integrals, if one assumes that
Alexandre Almeida, Stefan Samko
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Riesz Potentials for Korteweg-de Vries Solitons and Sturm-Liouville Problems [PDF]
International Journal of Differential Equations, 2010 Riesz potentials (also called Riesz fractional derivatives) and their Hilbert transforms are computed for the Korteweg-de Vries soliton. They are expressed in terms of the full-range Hurwitz Zeta functions 𝜁+(𝑠,𝑎) and 𝜁−(𝑠,𝑎).
Vladimir Varlamov
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Cones generated by a generalized fractional maximal function [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The paper considers the space of generalized fractional-maximal function, constructed on the basis of a rearrangement-invariant space. Two types of cones generated by a nonincreasing rearrangement of a generalized fractional-maximal function and ...
N.А. Bokayev +2 more
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Fractional operators and their commutators on generalized Orlicz spaces [PDF]
Opuscula Mathematica, 2022 In this paper we examine boundedness of fractional maximal operator. The main focus is on commutators and maximal commutators on generalized Orlicz spaces (also known as Musielak-Orlicz spaces) for fractional maximal functions and Riesz potentials.
Arttu Karppinen
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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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Variation inequalities related to Schrödinger operators on weighted Morrey spaces
Open Mathematics, 2019 This paper establishes the boundedness of the variation operators associated with Riesz transforms and commutators generated by the Riesz transforms and BMO-type functions in the Schrödinger setting on the weighted Morrey spaces related to certain ...
Zhang Jing
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Numerical Solution of Fractional Elliptic Problems with Inhomogeneous Boundary Conditions
Fractal and Fractional, 2021 The numerical solution of fractional-order elliptic problems is investigated in bounded domains. According to real-life situations, we assumed inhomogeneous boundary terms, while the underlying equations contain the full-space fractional Laplacian ...
Gábor Maros, Ferenc Izsák
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Journal of Function Spaces and Applications, 2013 Our aim in this paper is to deal with the Sobolev embeddings for generalized Riesz potentials of functions in Morrey spaces over nondoubling measure spaces.
Yoshihiro Sawano, Tetsu Shimomura
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