Results 11 to 20 of about 527,109 (283)

Pseudo-integral operators [PDF]

open access: yesTransactions of the American Mathematical Society, 1979
Let ( X , a , m ) (X,\,\mathcal {a},\,m) be a standard finite measure space. A bounded operator T on L 2 ( X ) {L^2}(X) is called a pseudo-integral operator if
openaire   +2 more sources

Derivation of bounds of several kinds of operators via (s,m) $(s,m)$-convexity

open access: yesAdvances in Difference Equations, 2020
The objective of this paper is to derive the bounds of fractional and conformable integral operators for (s,m) $(s,m)$-convex functions in a unified form.
Young Chel Kwun   +4 more
doaj   +1 more source

Double Operator Integrals

open access: yesJournal of Functional Analysis, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
de Pagter, B.   +2 more
openaire   +2 more sources

Fourier integrals operators on lie groupoids [PDF]

open access: yes, 2016
As announced in [12], we develop a calculus of Fourier integral G-operators on any Lie groupoid G. For that purpose, we study convolability and invertibility of Lagrangian conic submanifolds of the symplectic groupoid T * G.
Lescure, Jean-Marie, Vassout, Stéphane
core   +4 more sources

On Integral Operators

open access: yesJournal of Mathematical Analysis and Applications, 1999
Let \(f_n(z)= z/(1- z)^{n+ 1}\), \(n\in N_0\), and \(f^{(-1)}_n\) be defined such that \(f_n* f^{-1}_n= {z\over 1-z}\), where \(*\) denotes convolution (Hadamard product). Let \(f\) be analytic in the unit disc \(E\). The authors introduce a new operator \(I_nf= f^{(-1)}_n* f\) which is analogous to one defined by Ruscheweyh.
Inayat Noor, Khalida   +1 more
openaire   +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

Fast Computation of Fourier Integral Operators [PDF]

open access: yes, 2006
We introduce a general purpose algorithm for rapidly computing certain types of oscillatory integrals which frequently arise in problems connected to wave propagation and general hyperbolic equations.
Candes, Emmanuel   +2 more
core   +6 more sources

Inequalities for a Unified Integral Operator and Associated Results in Fractional Calculus

open access: yesIEEE Access, 2019
Integral operators are useful in real analysis, mathematical analysis, functional analysis and other subjects of mathematical approach. The goal of this paper is to study a unified integral operator via convexity.
Young Chel Kwun   +5 more
doaj   +1 more source

BCR algorithm and the $T(b)$ theorem [PDF]

open access: yes, 2007
We show using the Beylkin-Coifman-Rokhlin algorithm in the Haar basis that any singular integral operator can be written as the sum of a bounded operator on $L^p ...
Auscher, Pascal, Yang, Qi Xiang
core   +3 more sources

Integral operators with operator-valued kernels

open access: yesJournal of Mathematical Analysis and Applications, 2004
Let \((X,\|.\|_X),(Y,\|.\|_Y)\) be Banach spaces with norms \(\|.\|_X\), \(\|.\|_Y\), and let \((S,{\mathcal S},v)\), \((T,{\mathcal T},\mu)\), be \(\sigma\)-finite measure spaces. If \(1\leq p \alpha\})= 0\}. \] The class of bounded linear operators from \(X\) into \(Y\) is denoted by \({\mathcal B}(X,Y)\), and the adjoint space of bounded linear ...
Girardi, Maria, Weis, Lutz
openaire   +1 more source

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