Results 91 to 100 of about 8,913,878 (219)
A uniqueness theorem for Riesz potentials [PDF]
St. Petersburg Mathematical Journal, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the differentiability of Riesz potentials of functions
Hiroshima Mathematical Journal, 1987 The Riesz potential of order \(\alpha\) of a nonnegative measurable function f on \(R^ n\) is defined by \(R_{\alpha}f(x)=\int R_{\alpha}(x-y)f(y)dy,\) where \(R_{\alpha}(x)=| x|^{\alpha - n}\) if \(\alpha 1\) and f be a nonnegative measurable function on \(R^ n\) such that \(R_ mf\not\equiv \infty\) and \[ \int f(y)^ p(\log (2+f(y))^{\delta} dyp-1. \]
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On Concavity and Supermodularity [PDF]
Concavity and supermodularity are in general independent properties. A class of functionals defined on a lattice cone of a Riesz space has the Choquet property when it is the case that its members are concave whenever they are supermodular.
Luigi Montrucchio, Massimo Marinacci
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, 2018 WOS: 000433245300010In this paper, we study the Riesz potential (G-Riesz potential) generated by the Gegenbauer differential operator G(lambda) = (x(2) - 1()1/2-lambda) d/dx (x(2) - 1)(lambda+1/2) d/dx, x is an element of(1, infinity), lambda is an ...
Vagif S. Guliyev +3 more
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Spherical square functions of Marcinkiewicz type with Riesz potentials [PDF]
, 2017 We prove a pointwise equivalence between a spherical square function composed with the Riesz potential and a Littlewood–Paley function arising from the Bochner–Riesz operators. Also, its application to the theory of Sobolev spaces will be given.
20162430 +5 more
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Vector Solutions for Linearly Coupled Choquard Type Equations with Lower Critical Exponents
Advances in Mathematical Physics, 2020 The existence, nonexistence, and multiplicity of vector solutions of the linearly coupled Choquard type equations −Δu+V1xu=Iα∗uN+α/Nuα/N−1u+λv,x∈ℝN,−Δv+V2xv=Iα∗vN+α/Nvα/N−1v+λu,x∈ℝN,u,v∈H1ℝN, are proved, where α∈0,N, N≥3, V1xV2x∈L∞ℝN are positive ...
Huiling Wu
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The Riesz-Bessel Fractional Diffusion Equation [PDF]
, 2004 This paper examines the properties of a fractional diffusion equation defined by the composition of the inverses of the Riesz potential and the Bessel potential. The first part determines the conditions under which the Green function of this equation is
Anh, Vo V., McVinish, Ross S.
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Space of images of the mixed Riesz hyperbolic B-potential and analytic continuation [PDF]
, 2019 In this paper we prove semigroup properties for the mixed Riesz hyperbolic B-potential, find its analytic continuation and describe a space of images of mixed hyperbolic Riesz B-potentials.
Polovinkin, I. +2 more
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Estimates for capacities and traces of potentials
International Journal of Mathematics and Mathematical Sciences, 1984 It is shown that isoperimetric inequalities, relating measures and capacities, hold for all sets in ℝn if they are valid for all balls. As a corollary, the necessary and sufficient conditions for the continuity of some imbeddings of M. Riesz and Bessel
V. G. Maz'ja, S. P. Preobrazenskii
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The Stein-Weiss type inequalities for the B-Riesz potentials [PDF]
, 2011 We establish two inequalities of Stein-Weiss type for the Riesz potential operator I?,? (B-Riesz potential operator) generated by the Laplace-Bessel differential operator ?B in the weighted Lebesgue spaces Lp,|x|ß,?.
Serbetci A. +3 more
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