Results 31 to 40 of about 186 (123)

Sobre la inversión de los potenciales de Bessel-Riesz Sobre la inversión de los potenciales de Bessel-Riesz

Nexo, 2010
En este trabajo se obtiene la inversión de un operador del tipo convolución usando técnicas de integrales hipersingulares. El operador de Bessel-Riesz de una función ϕ perteneciente a S , el espacio de funciones de prueba de Schwartz, es definido por la ...
Ruben Alejandro Cerutti
doaj   +1 more source

A Balakrishnan-Rubin type hypersingular integral operator and inversion of Flett potentials

Hacettepe Journal of Mathematics and Statistics, 2020
In the present paper we introduce new ``truncated" hypersingular integral operators $D_{\epsilon}^{\alpha}f,(\epsilon>0)$ generated by the modified Poisson semigroup and obtain an explicit inversion formula for the Flett potentials in framework of $L_p$--spaces.**************************************************************************************
Sinem SEZER EVCAN, Melih ERYİĞİT, Selim ÇOBANOĞLU   +2 more
openaire   +4 more sources

Hypersingular integral operators on modulation spaces for 0 < p < 1 [PDF]

Journal of Inequalities and Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

L^p-bounds for hypersingular integral operators along curves [PDF]

Pacific Journal of Mathematics, 1996
It is known that the Hilbert transform along curves \[ {\mathcal H}_\Gamma f(x)=\text{p.v. } \int^\infty_{-\infty} f(x-\Gamma (t)) {dt \over t} \qquad (x\in \mathbb{R}^n) \] is bounded on \(L^p\), \(1< p< \infty\), where \(\Gamma (t)\) is an appropriate curve in \(\mathbb{R}^n\). In particular, \(|{\mathcal H}_\Gamma f|_p \leq C|f|_p\), \(1< p< \infty\)
openaire   +2 more sources

On the injectivity property of a hypersingular operator in a scattering problem of electromagnetic waves on a slab, covered with graphene

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. This study focuses on study of a mathematical model describing the scattering of TE-wave on a 2D slab covered with graphene. The purpose of this study is to prove the uniqueness of the scattering problem and the injectivity property of a ...
Stanislav V. Tikhov
doaj   +1 more source

APPLICATION OF THE CONTINUOUS OPERATOR METHOD TO THE SOLUTION OF THE POCKLINGTON AND GALLEN EQUATIONS FOR THIN WIRE ANTENNAS

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. One of the central tasks in microwave electronics is the construction of miniature antennas with high performance. The main equations used in modeling wire antennas of various configurations are the Pocklington, Gallen equations, singular ...
I. V. Boykov, P. V. Aykashev
doaj   +1 more source

On numerical methods for solving hypersingular integral equations on infinite line

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. Hypersingular integral equations on infinite line that arise in many problems of mathematical physics are considered. Materials and methods. Hypersingular equations are studied in Sobolev spaces, which are represented by Fourier series with a
Yuriy G. Smirnov, Aleksey V. Setukha, Anatoliy S. Nenashev   +2 more
doaj   +1 more source

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source

Inequalities for $\Lambda$-derivatives of functions defined on a metric space and some of their applications

Researches in Mathematics
We introduce a concept of a $\Lambda$-derivative operator, which is a certain generalization of hypersingular integral operators, which in turn are used in the definitions of the Marchaud and the Riesz fractional derivatives.
V. Babenko, V. Kolesnyk, O. Kovalenko, N. Parfinovych   +3 more
doaj   +1 more source

Fractional Q$Q$‐curvature on the sphere and optimal partitions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We study an optimal partition problem on the sphere, where the cost functional is associated with the fractional Q$Q$‐curvature in terms of the conformal fractional Laplacian on the sphere. By leveraging symmetries, we prove the existence of a symmetric minimal partition through a variational approach. A key ingredient in our analysis is a new
Héctor A. Chang‐Lara, Juan Carlos Fernández, Alberto Saldaña   +2 more
wiley   +1 more source