Results 41 to 50 of about 431,197 (172)
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
wiley +1 more source
Inversion Formulas for the Spherical Radon-Dunkl Transform
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The spherical Radon-Dunkl transform R_κ, associated to weight functions invariant under a finite reflection group, is introduced, and some elementary properties are obtained in terms of h-harmonics.
Zhongkai Li, Futao Song
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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
wiley +1 more source
Fractional Fourier Transforms Meet Riesz Potentials and Image Processing
, 2023 Via chirp functions from fractional Fourier transforms, the authors introduce fractional Riesz potentials related to chirp functions, establish their relations with fractional Fourier transforms, fractional Laplace operators related to chirp functions ...
Fu, Zunwei +3 more
core
Boundedness of the Maximal, Potential and Singular Operators in the Generalized Morrey Spaces
Journal of Inequalities and Applications, 2009 We consider generalized Morrey spaces ℳp,ω(ℝn) with a general function ω(x,r) defining the Morrey-type norm. We find the conditions on the pair (ω1,ω2) which ensures the boundedness of the maximal operator and ...
Vagif S. Guliyev
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General Euler-Poisson-Darboux Equation and Hyperbolic B-Potentials
Современная математика: Фундаментальные направления, 2019 In this work, we develop the theory of hyperbolic equations with Bessel operators. We construct and invert hyperbolic potentials generated by multidimensional generalized translation. Chapter 1 contains necessary notation, definitions, auxiliary facts and
E L Shishkina
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Null projections and noncommutative function theory in operator algebras
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We study projections in the bidual of a C∗$\mathrm{C}^*$‐algebra B$B$ that are null with respect to a subalgebra A$A$, that is, projections p∈B∗∗$p\in B^{**}$ satisfying |φ|(p)=0$|\varphi |(p)=0$ for every φ∈B∗$\varphi \in B^*$ annihilating A$A$. In the separable case, A$A$‐null projections are precisely the peak projections in the bidual of A$
David P. Blecher, Raphaël Clouâtre
wiley +1 more source
On Limiting Case of the Stein-Weiss Type Inequality for the B-Riesz Potentials [PDF]
, 2009 In this paper we study the Riesz potentials (B-Riesz potentials) generated by the Laplace-Bessel differential operator ∆B [...]. We establish an inequality of Stein-Weiss type for the B-Riesz potentials in the limiting case, and obtain the boundedness ...
Guliyev, Emin
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Sobolev Embedding Theorem for the Sobolev-Morrey spaces
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 In this paper we prove a Sobolev Embedding Theorem for Sobolev-Morrey spaces. The proof is based on the Sobolev Integral Representation Theorem and on a recent results on Riesz potentials in generalized Morrey spaces of Burenkov, Gogatishvili, Guliyev ...
V.I. Burenkov, N.A. Kydyrmina
doaj
A trace problem for associate Morrey potentials
Advances in Nonlinear Analysis, 2018 As a solution to the restriction question for associate Morrey potentials (Question 1.1), this paper characterizes a Radon measure μ on ℝn{\mathbb{R}^{n}} such that the Riesz operator Iα{I_{\alpha}} maps the associate Morrey spaces H1p,κ⊂Hp,κ{H^{p,\kappa}
Xiao Jie
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