Results 41 to 50 of about 2,392,144 (197)
Generalized Bessel and Riesz Potentials on Metric Measure Spaces [PDF]
Potential Analysis, 2009 The authors investigate many interesting properties of generalized Bessel and Riesz operators on metric measure spaces having a contractive strongly continuous semigroup of transformations in \(Lp(\mu)\). Some estimates of the Bessel and Riesz kernels are proved.
Hu, J., Zähle, M.
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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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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.
core
On the modulus of measures with values in topological Riesz spaces
Revista Matemática Complutense, 2002 Measures from an algebra into a topological Riesz space are studied with particular concern for the existence of the modulus for a given measure. The authors demonstrate, for example, a countably additive measure to the Banach lattice \textit{c} with no modulus, in fact, no absolute majorant.
Drewnowski, Lech, Wnuk, Witold
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Harmonic Measure, Equilibrium Measure, and Thinness at Infinity in the Theory of Riesz Potentials [PDF]
Potential Analysis, 2021 Focusing first on the inner $α$-harmonic measure $\varepsilon_y^A$ ($\varepsilon_y$ being the unit Dirac measure, and $μ^A$ the inner $α$-Riesz balayage of a Radon measure $μ$ to $A\subset\mathbb R^n$ arbitrary), we describe its Euclidean support, provide a formula for evaluation of its total mass, establish the vague continuity of the map $y\mapsto ...
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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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POSITIVE DEFINITE FUNCTIONS AND SHARP INEQUALITIES FOR PERIODIC FUNCTIONS
Ural Mathematical Journal, 2017 Let \(\varphi\) be a positive definite and continuous function on \(\mathbb{R}\), and let \(\mu\) be the corresponding Bochner measure. For fixed \(\varepsilon,\tau\in\mathbb{R}\), \(\varepsilon\ne 0\), we consider a linear operator \(A_{\varepsilon,\tau}
Viktor P. Zastavnyi
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Convergence of Hermite expansions in modulation spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract The aim of this paper is to give an elementary proof that the Hermite expansion of a function f$f$ in the modulation space Mp(R)$M^p({\mathbb {R}})$ converges to f$f$ in Mp(R)$M^p({\mathbb {R}})$ when 1
Philippe Jaming, Michael Speckbacher
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Low eigenvalues of the p$p$–Laplacian in general open sets
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We consider the minmax Ljusternik–Schnirelmann levels of the constrained p$p$–Dirichlet integral on a general open set of the Euclidean space. We show that, whenever one of these levels lies below the threshold given by the Lp$L^p$ Poincaré constant “at infinity,” it actually defines an eigenvalue of the Dirichlet p$p$–Laplacian. We also prove
Lorenzo Brasco +2 more
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Finite Element Approximation for a Reformulation of a 3D Fluid–2D Plate Interaction System
Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT We study a finite element approximation of a coupled fluid‐structure interaction consisting of a three‐dimensional incompressible viscous fluid governed by the unsteady Stokes equations and a two‐dimensional elastic plate. To avoid the use of H2−$$ {H}^2- $$conforming or nonconforming ℙ2$$ {\mathbb{P}}_2 $$‐Morley plate elements, the fourth ...
Lander Besabe, Hyesuk Lee
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