Results 1 to 10 of about 8,913,878 (219)
Riesz Potential on the Heisenberg Group [PDF]
Journal of Inequalities and Applications, 2011 The relation between Riesz potential and heat kernel on the Heisenberg group is studied. Moreover, the Hardy-Littlewood-Sobolev inequality is established.
Xiao Jinsen, He Jianxun
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Compactness of Commutators for Riesz Potential on Local Morrey-type spaces [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The paper considers Morrey-type local spaces from LM^w_pθ. The main work is the proof of the commutator compactness theorem for the Riesz potential [b, I_α] in local Morrey-type spaces from LM^w1_pθ to LM^w2_qθ.
D.T. Matin +2 more
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p-Adic Riesz Potential and Its Commutators on Morrey-Herz Spaces
Journal of Function Spaces, 2022 In this paper, we establish the boundedness of p-adic Riesz potential on Morrey-Herz spaces, as well as the λ-central BMO estimates for multilinear commutators of p-adic Riesz potential on Morrey-Herz spaces.
Yanlong Shi, Yafeng Shi, Shenbao Chen
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Riesz potential and its commutators on Orlicz spaces [PDF]
Journal of Inequalities and Applications, 2017 In the present paper, we shall give necessary and sufficient conditions for the strong and weak boundedness of the Riesz potential operator I α $I_{\alpha}$ on Orlicz spaces. Cianchi (J. Lond. Math. Soc.
Vagif S Guliyev +2 more
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General Fractional Calculus in Multi-Dimensional Space: Riesz Form
Mathematics, 2023 An extension of the general fractional calculus (GFC) is proposed as a generalization of the Riesz fractional calculus, which was suggested by Marsel Riesz in 1949.
Vasily E. Tarasov
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Вестник КазНУ. Серия математика, механика, информатика, 2022 The paper considers the global Morrey-type spaces GMp(.),θ(.),w(.)(Ω) with variable exponents p(.), θ(.), where Ω ⊂ Rn is an unbounded domain. The questions of boundedness of the Riesz potential and its commutator in these spaces are investigated.
Zh. M. Onerbek
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Weighted Estimates for Iterated Commutators of Riesz Potential on Homogeneous Groups
Mathematics, 2021 In this paper, we study the two weight commutators theorem of Riesz potential on an arbitrary homogeneous group H of dimension N. Moreover, in accordance with the results in the Euclidean space, we acquire the quantitative weighted bound on homogeneous ...
Daimei Chen, Yanping Chen, Teng Wang
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Pseudodifferential Equation of Fluctuations of Nonstationary Gravitational Fields
Journal of Mathematics, 2021 Developing Holtzmark’s idea, the distribution of nonstationary fluctuations of local interaction of moving objects of the system with gravitational influence, which is characterized by the Riesz potential, is constructed.
Vladyslav Litovchenko
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Pair correlation function of the one-dimensional Riesz gas
Physical Review Research, 2023 A method from random-matrix theory is used to calculate the pair correlation function of a one-dimensional gas of N≫1 classical particles with a power-law repulsive interaction potential u(x)∝|x|^{−s} (a so-called Riesz gas).
C. W. J. Beenakker
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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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