Results 11 to 20 of about 644 (181)
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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Inversion of Riesz Potentials for Dunkl Transform [PDF]
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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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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Boundedness of Riesz Potential Operator on Grand Herz-Morrey Spaces
Axioms, 2022 In this paper, we introduce grand Herz–Morrey spaces with variable exponent and prove the boundedness of Riesz potential operators in these spaces.
Babar Sultan +4 more
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Restrictions of Riesz–Morrey potentials
Arkiv för Matematik, 2016 This paper is devoted to the study of restrictions of Riesz-Morey potentials in bounded and unbounded domains of \({\mathbb R}^n\).
Adams, David R., Xiao, Jie
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Riesz Potentials and Nonlinear Parabolic Equations [PDF]
Archive for Rational Mechanics and Analysis, 2013 The spatial gradient of solutions to nonlinear degenerate parabolic equations can be pointwise estimated by the caloric Riesz potential of the right hand side datum, exactly as in the case of the heat equation.
T. Kuusi, MINGIONE, Giuseppe
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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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Riesz transform and Riesz potentials for Dunkl transform
Journal of Computational and Applied Mathematics, 2007 Analogous of Riesz potentials and Riesz transforms are defined and studied for the Dunkl transform associated with a family of weighted functions that are invariant under a reflection group. The $L^p$ boundedness of these operators is established in certain cases.
Thangavelu, Sundaram, Xu, Yuan
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Local Polya fluctuations of Riesz gravitational fields and the Cauchy problem
Karpatsʹkì Matematičnì Publìkacìï, 2023 We consider a pseudodifferential equation of parabolic type with a fractional power of the Laplace operator of order $\alpha\in(0;1)$ acting with respect to the spatial variable.
V.A. Litovchenko
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An $L^1$-type estimate for Riesz potentials [PDF]
Revista Matemática Iberoamericana, 2017 In this paper we establish new L^1 -type estimates for the classical Riesz potentials of order \alpha \in (0, N) :
Armin Schikorra +2 more
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