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The (p, q, l) -properties of a generalized Riesz potential
, 2004 The generalized Riesz potential defined on Sobolev space W-p(l)(R") is constructed and for this potential the theorem of Hardy-Littlewood-Sobolev type have established. (C) 2003 Elsevier Inc. All rights reserved.The generalized Riesz potential defined on
Cinar, I
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Inequalities for integral operators in Hölder–Morrey spaces on differential forms
Journal of Inequalities and Applications, 2023 The Hölder–Morrey spaces Λ κ p , τ ( Ω , ∧ l ) $\Lambda _{\kappa}^{p,\tau}(\Omega ,\wedge ^{l})$ are proposed in this paper. The imbedding inequalities for homotopy operator are derived in Hölder–Morrey spaces on differential forms. The Hölder continuity
Xuexin Li, Jianwei Wang, Ning Pan
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Journal of Applied Econometrics, Volume 41, Issue 5, Page 613-626, August 2026.ABSTRACT Double/debiased machine learning (DML) uses for estimating an average treatment effect (ATE) a double‐robust score function that relies on the prediction of nuisance functions, such as the propensity score, which is the probability of treatment assignment given covariates.
Daniele Ballinari, Nora Bearth
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Multilinear Riesz Potential on Morrey-Herz Spaces with Non-Doubling Measures
Journal of Inequalities and Applications, 2010 The authors consider the multilinear Riesz potential operator defined by , where denotes the -tuple , the nonnegative integers with , , and is a nonnegative -dimensional Borel measure.
Tao Xiangxing, Zheng Taotao, Shi Yanlong
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Современная наука и инновации, 2022 For the Riesz potential operator there are proved weighted estimates within the framework of weighted Lebesgue spaces with variable exponent. In case is a bounded do-main, the order potential is allowed to be variable as well.
Boris G. Vaculov +2 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14244-14265, August 2026.ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
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Riesz-Fejér Inequalities for Harmonic Functions [PDF]
, 2018 © 2018, Springer Nature B.V. In this article, we prove the Riesz - Fejér inequality for complex-valued harmonic functions in the harmonic Hardy space hp for all p > 1. The result is sharp for p ∈ (1,2]. Moreover, we prove two variant forms of Riesz-Fejér
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A comparison of Bessel and Riesz potentials
Acta Scientiarum MathematicarumHow large is the Bessel potential, $G_{α,μ}f$, compared to the Riesz potential, $I_αf$? In this paper, we show that if $I_αf\in L^p$ with $0<α<1$ and $p>1$, then the following interpolation bound holds: \[\Vert G_{α,μ}f\Vert_p\leq C(ω(I_αf,1/μ)_p)^α\cdot\Vert I_αf\Vert^{1-α}_p.\] Here $ω(f,t)_p$ is the $L^p$ modulus of continuity. However, if
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A Physical Interpretation of Riesz Potential
IOSR Journal of Mathematics, 2016 In this paper we add a physical meaning to the Riesz potential by using Newtonian force fields due to a body and velocity fields of any fluid. To do this, we firstly give some properties of Newtonian force fields and correspondingly Newtonian potentials.
Esin İnan Eskitaşçioğlu +1 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
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