Results 101 to 110 of about 8,913,878 (219)
ITM Web of Conferences, 2018 Let L = −Δ + V be a Schrödinger operator on ℝn, where V is a nonnegative potential satisfying the suitable reverse Hölder’s inequality. In this paper, we study the boundedness of the second order Riesz transforms such as L−1∇2 on the spaces of BMO type ...
Nguyen Ngoc Trong +2 more
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Large deviations for Riesz potentials of additive processes
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2009 We study functionals of the form \[ζ_{t}=\int_0^{t}...\int_0^{t} | X_1(s_1)+...+ X_p(s_p)|^{-σ}ds_1... ds_p\] where $X_1(t),..., X_p(t)$ are i.i.d.
Bass, Richard, Chen, Xia, Rosen, Jay
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SMOOTHNESS OF RIESZ POTENTIAL OUT OF THE SET OF SMALL LEBESGUE MEASURE [PDF]
, 2020 We deals with the differential properties of the potential to some Borel measure of order, where Riesz kernel. The smoothness of Riesz potential out of some set of small Lebesgue measure is proved.
Daujanov, A.
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On Relations between Bessel Potential Spaces and Riesz Potential Spaces
We present a relation between the Bessel potential spaces and the Riesz potential spaces. The ideas of the proof are to characterize each potential spaces and to give a correspondence between individual Bessel potentials and Riesz ...
Kurokawa, Takahide
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, 1994 本文主要研究R的n次幂（n≥1）上修正Riesz位势Nμ原点的带权细极限。做为 Riesz位势细极限的一个推广，我们给出了修正Riesz位势Kμ的细极限的定理。This paper mainly discusses the fine limits of modify Riesz potential Nμ on Rn(n≥1).
杨智元
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Ground State Solutions for General Choquard Equation With the Riesz Fractional Laplacian
Advances in Mathematical PhysicsIn this work, we study the existence of a nonzero solution for the following nonlinear general Choquard equation (CE): −Δν+ν=−ΔD−α2 ∗ Fνfν,in ℝN, where N≥3, F represents the primitive function of f, f∈CR;R is a function that fulfils the general ...
Sarah Abdullah Qadha +3 more
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Fractal and FractionalThis paper investigates a new class of fractional integral operators, namely, the exponentially damped Riesz-type operators within the framework of variable exponent Lebesgue spaces Lp(·).
Waqar Afzal +4 more
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Compactness of Commutators for Riesz Potential on Generalized Morrey Spaces
MathematicsIn this paper, we give the sufficient conditions for the compactness of sets in generalized Morrey spaces Mpw(·). This result is an analogue of the well-known Fréchet–Kolmogorov theorem on the compactness of a set in Lebesgue spaces Lp,p>0.
Nurzhan Bokayev +3 more
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Characterization of balls by Riesz-potentials
Annali di Matematica Pura ed Applicata, 2008 This paper presents a nice characterization of balls in \(\mathbb R^N\), \(N\geq 2\), in terms of generalized Riesz potentials. More precisely, let \(\Omega\subset\mathbb R^N\) be a bounded convex domain and \(u(x)=\int_\Omega |x-y|^{\alpha-N}dy ...
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Boundedness of the Riesz potential on a complete manifold with nonnegative Ricci curvature
, 1993 In this paper we obtain a necessary and sufficient condition for the boundedness of the Riesz potential on a complete manifold with nonnegative Ricci curvature.
Jiayu Li
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