Results 21 to 30 of about 666,156 (322)

A Univalence Preserving Integral Operator

Journal of Inequalities and Applications, 2008
We define an integral operator denoted by I, and we give sufficient conditions such that F=I(f1,f2,…,fm) is univalent.
Georgia Irina Oros
doaj   +2 more sources

Regularized Asymptotic Solutions of a Singularly Perturbed Fredholm Equation with a Rapidly Varying Kernel and a Rapidly Oscillating Inhomogeneity

Axioms, 2022
This article investigates an equation with a rapidly oscillating inhomogeneity and with a rapidly decreasing kernel of an integral operator of Fredholm type.
Dana Bibulova, Burkhan Kalimbetov, Valeriy Safonov   +2 more
doaj   +1 more source

A characterization for $B$-singular integral operator and its commutators on generalized weighted $B$-Morrey spaces

Karpatsʹkì Matematičnì Publìkacìï, 2023
We study the maximal operator $M_{\gamma}$ and the singular integral operator $A_{\gamma}$, associated with the generalized shift operator. The generalized shift operators are associated with the Laplace-Bessel differential operator.
J.J. Hasanov, I. Ekincioglu, C. Keskin
doaj   +1 more source

Fractional Minkowski-Type Integral Inequalities via the Unified Generalized Fractional Integral Operator

Journal of Function Spaces, 2022
This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag-Leffler function in its kernel. We prove the boundedness of this newly defined operator.
Tingmei Gao, Ghulam Farid, Ayyaz Ahmad, Waewta Luangboon, Kamsing Nonlaopon   +4 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   +2 more sources

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

, 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

A boundedness result for Marcinkiewicz integral operator

Open Mathematics, 2020
We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains Lp{L}^{p}-bounded when its kernel satisfies only the sole integrability condition.
Hawawsheh Laith, Abudayah Mohammad
doaj   +1 more source

Double Operator Integrals

Journal of Functional Analysis, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
de Pagter, B., Witvliet, H., Sukochev, F.A.   +2 more
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Integral representation of the linear Boltzmann operator for granular gas dynamics with applications [PDF]

, 2007
We investigate the properties of the collision operator associated to the linear Boltzmann equation for dissipative hard-spheres arising in granular gas dynamics.
B. Lods, Bertrand Lods, C. Cercignani, C. Mouhot, C. Villani, F. Poupaud, F.A. Molinet, G. Spiga, I. Kuscer, J. Banasiak, J. Voigt, J. Voigt, L. Arlotti, L. Arlotti, Luisa Arlotti, M.H. Ernst, N.V. Brilliantov, P.A. Martin, R. Pettersson, S. Brull, S. Mischler   +20 more
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Inequalities for a Unified Integral Operator and Associated Results in Fractional Calculus

IEEE 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, Ghulam Farid, Saleem Ullah, Waqas Nazeer, Kahkashan Mahreen, Shin Min Kang   +5 more
doaj   +1 more source