Results 31 to 40 of about 644 (181)

Characterization of Riesz and Bessel potentials on variable Lebesgue spaces

Journal of Function Spaces and Applications, 2006
Riesz and Bessel potential spaces are studied within the framework of the Lebesgue spaces with variable exponent. It is shown that the spaces of these potentials can be characterized in terms of convergence of hypersingular integrals, if one assumes that
Alexandre Almeida, Stefan Samko
doaj   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

A Semi‐Discrete Lagrangian‐Eulerian Numerical Scheme for Diffusive‐Dispersive Conservation Laws With Discontinuous Coefficient

Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.
ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu, Wanderson Lambert, Erivaldo Lima   +2 more
wiley   +1 more source

Geometry of essential matrix ranges and the Smith–Ward problem for operator systems

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract A d$d$‐tuple of bounded linear selfadjoint operators acting on an infinite‐dimensional separable Hilbert space is said to have the Smith–Ward property if the identity map of the image of the operator system in the Calkin algebra has a completely positive lift.
Douglas Farenick, Chi‐Kwong Li, Sushil Singla   +2 more
wiley   +1 more source

On behaviour of the Riesz and generalized Riesz potentials as order tends to zero [PDF]

Mathematical Inequalities & Applications, 2007
In this paper, we present the Riesz potentials Iα and the generalized Riesz potentials Iα ν as the families of positive linear operators, depending on parameter α > 0. We investigate their pointwise convergence and convergence in the norm as α → 0. We investigate also the order of approximation of these families and show in particular that the order of
Gadjiev, A. D., Aral, A., Aliev, Ilham A.   +2 more
openaire   +2 more sources

Improving the Finite Sample Estimation of Average Treatment Effects Using Double/Debiased Machine Learning With Propensity Score Calibration

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
wiley   +1 more source

On the representation of the Radon-Kipriyanov transform by the Riesz potential

Современная математика: Фундаментальные направления
In this paper, a representation of the Radon-Kipriyanov transform by the classical Riesz potential is obtained. Based on the application of the Radon-Kipriyanov transform to a singular partial differential operator, a formula for transformation of a ...
L. N. Lyakhov, V. A. Kalitvin, M. G. Lapshina   +2 more
doaj   +1 more source

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

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, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

On the Riesz Potential and Its Commutators on Generalized Orlicz-Morrey Spaces

Journal of Function Spaces, 2014
We consider generalized Orlicz-Morrey spaces MΦ,φ(ℝn) including their weak versions WMΦ,φ(ℝn). In these spaces we prove the boundedness of the Riesz potential from MΦ,φ1(ℝn) to MΨ,φ2(ℝn) and from MΦ,φ1(ℝn) to WMΨ,φ2(ℝn). As applications of those results,
Vagif S. Guliyev, Fatih Deringoz
doaj   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

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, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source