Results 51 to 60 of about 3,111,772 (368)

Volterra integral operators and general linear integral operators representing polynomial covariance type commutation relations on $L_p$ spaces [PDF]

arXiv, 2023
Conditions for linear integral operators on $L_p$ over measure spaces to satisfy the polynomial covariance type commutation relations are described in terms of defining kernels of the corresponding integral operators. Representation by integral operators are studied both for general polynomial covariance commutation relations and for important classes ...
arxiv  

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

Advances 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, Saima Rashid, A. A. El-Deeb, Zakia Hammouch, Yu-Ming Chu   +4 more
doaj   +1 more source

Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator

Journal of Function Spaces, 2022
In this manuscript, we are getting some novel inequalities for convex functions by a new generalized fractional integral operator setting. Our results are established by merging the k,s-Riemann-Liouville fractional integral operator with the generalized ...
Majid K. Neamah, Alawiah Ibrahim, Hala Shaker Mehdy, Saleh S. Redhwan, Mohammed S. Abdo   +4 more
doaj   +1 more source

Minkowski’s inequality for the AB-fractional integral operator

Journal of Inequalities and Applications, 2019
Recently, AB-fractional calculus has been introduced by Atangana and Baleanu and attracted a large number of scientists in different scientific fields for the exploration of diverse topics.
H. Khan, T. Abdeljawad, C. Tunç, Abdulwasea Alkhazzan, Aziz Khan   +4 more
semanticscholar   +1 more source

Integral forms for tensor powers of the Virasoro vertex operator algebra $L(\frac{1}{2},0)$ and their modules

, 2014
We construct integral forms containing the conformal vector $\omega$ in certain tensor powers of the Virasoro vertex operator algebra $L(\frac{1}{2},0)$, and we construct integral forms in certain modules for these algebras.
McRae, Robert
core   +1 more source

Double Operator Integrals

Journal of Functional Analysis, 2002
AbstractThis paper is concerned with perturbation formulae of the form∥f(a)−f(b)∥Lp(M,τ)⩽K∥a−b∥ Lp(M,τ) with K>0 being a constant depending on p and f only, where f is a real-valued Lipschitz function and a,b are self-adjoint τ-measurable operators affiliated with a semifinite von Neumann algebra (M,τ), such that the difference a−b belongs to Lp(M,τ ...
B. de Pagter, H. Witvliet, F. A. Sukochev   +2 more
openaire   +2 more sources

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

Nonlinear 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, Lakshmi Narayan Mishra, Vishnu Narayan Mishra   +2 more
doaj   +1 more source

Pseudo-integral operators [PDF]

Transactions 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   +1 more source

Norms of some operators between weighted-type spaces and weighted Lebesgue spaces

AIMS Mathematics, 2023
We calculate the norms of several concrete operators, mostly of some integral-type ones between weighted-type spaces of continuous functions on several domains.
Stevo Stević
doaj   +1 more source

On Fourier Integral Operators [PDF]

Proceedings of the American Mathematical Society, 1982
We consider operators of the form: ∫ − ∞ ∞ F t φ ( t ) d t \int _{ - \infty }^\infty {{F_t}\varphi (t)\;dt} , where
openaire   +2 more sources