Results 21 to 30 of about 33,262 (259)

On Integral Operators with Operator-Valued Kernels [PDF]

open access: yesJournal of Inequalities and Applications, 2010
Here Lq-Lp boundedness of integral operator with operator-valued kernels is studied and the main result is applied to convolution operators. Using these results Besov space regularity for Fourier multiplier operator is established.
openaire   +4 more sources

Pseudospectral Method Based on Müntz–Legendre Wavelets for Solving the Abel Integral Equation

open access: yesJournal of Mathematics, 2022
This paper deals with the numerical solution of the Abel integral equation based on Müntz–Legendre wavelets. To this end, the Abel integral operator is represented by Müntz–Legendre wavelets as an operational matrix.
Ioannis Dassios   +2 more
doaj   +1 more source

A New General Integral Operator Defined by Al-Oboudi Differential Operator

open access: yesJournal of Inequalities and Applications, 2009
We define a new general integral operator using Al-Oboudi differential operator. Also we introduce new subclasses of analytic functions. Our results generalize the results of Breaz, Güney, and Sălăgean.
Bulut Serap
doaj   +2 more sources

Boundedness of Toeplitz type operators associated to Riesz potential operator with general kernel on Orlicz space

open access: yesOpen Mathematics, 2015
In this paper, the boundedness properties for some Toeplitz type operators associated to the Riesz potential and general integral operators from Lebesgue spaces to Orlicz spaces are proved.
Chen Dazhao
doaj   +1 more source

Integral type operators from normal weighted Bloch spaces to QT,S spaces

open access: yesJournal of Hebei University of Science and Technology, 2016
Operator theory is an important research content of the analytic function space theory. The discussion of simultaneous operator and function space is an effective way to study operator and function space.
Yongyi GU, Wenjun YUAN, Fanning MENG
doaj   +1 more source

Certain new weighted estimates proposing generalized proportional fractional operator in another sense

open access: yesAdvances in Difference Equations, 2020
The present work investigates the applicability and effectiveness of generalized proportional fractional integral ( GPFI $\mathcal{GPFI}$ ) operator in another sense.
Thabet Abdeljawad   +4 more
doaj   +1 more source

Integrated Resolvent Operators [PDF]

open access: yesJournal of Integral Equations and Applications, 1995
Der Autor betrachtet die Integro-Differential-Gleichung \[ u'(t)=Au (t)+\int^t_0 B(t-s) u(s) ds+f(t), \quad t\in [ 0,T ], \quad u(0) =x. \tag{VE} \] Dabei ist \(A\) ein linearer abgeschlossener Operator mit (nicht notwendig dichtem) Definitionsbereich \(D(A)\) in einem Banachraum \(X\), der die Hille-Yoshida-Bedingung erfüllt. Es gibt reelle Konstanten
openaire   +2 more sources

A Hierarchy of Integral Operators

open access: yesRocky Mountain Journal of Mathematics, 1997
Let \(m\) and \(n\) be integers with \(m+n \geq 0\), \(m^2+ n^2>0\), we define functions \(K_{m,n}\) as follows: \[ K_{m,n} (z)= (-m)! (-1)^m \bigl[(n-1)! \pi\bigr]^{-1} z^{m-1} \overline z^{n-1} \quad \text{for} \quad m\leq 0, \] \[ K_{m,n} (z)= (-n)! (-1)^n\bigl[ (m-1)!
Begehr, Heinrich, Hile, G.N.
openaire   +2 more sources

COMPOSITE OPERATORS AS INTEGRATION VARIABLES IN BEREZIN INTEGRALS [PDF]

open access: yesModern Physics Letters A, 1995
We define nonlinear changes of variables in Berezin integrals as new integration variables of homogeneous polynomials of the defining elements in the Grassmann algebra. We perform such a change of variables in the partition function of QCD by introducing as integration variables cubic and quadratic polynomials of the quark field, with the quantum ...
De Franceschi, G., Palumbo, F.
openaire   +2 more sources

Results on integral inequalities for a generalized fractional integral operator unifying two existing fractional integral operators

open access: yesNonlinear Analysis
The main aim of this article is to design a novel framework to study a generalized fractional integral operator that unifies two existing fractional integral operators.
Supriya Kumar Paul   +2 more
doaj   +1 more source

Home - About - Disclaimer - Privacy