Results 31 to 40 of about 41,228 (212)
Magnetic Fourier integral operators [PDF]
Journal of Pseudo-Differential Operators and Applications, 2011 In some previous papers we have defined and studied a 'magnetic' pseudodifferential calculus as a gauge covariant generalization of the Weyl calculus when a magnetic field is present. In this paper we extend the standard Fourier Integral Operators Theory to the case with a magnetic field, proving composition theorems, continuity theorems in 'magnetic ...
Iftimie, Viorel, Purice, Radu
openaire +2 more sources
Jakubowski starlike integral operators [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1984 AbstractLet S(m, M) be the set of functions regular and satisfying │zf′(z)/f(z) – m│< M in │z│ <1, where│m –│ <M;≦ m; and let S*(p) be the set of starlike functions of order p, 0≦ p <1. In this paper we obtain integral operators which map S(m, M) into S(mM) and S* (p) × S(mM) into S*(p).
Kumar, Vinod, Shukla, S. L.
openaire +2 more sources
Nonlinear AnalysisThe 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
Distorted Hankel integral operators [PDF]
Indiana University Mathematics Journal, 2004 For $\a,\b>0$ and for a locally integrable function (or, more generally, a distribution) $\f$ on $(0,\be)$, we study integral ooperators ${\frak G}^{\a,\b}_\f$ on $L^2(\R_+)$ defined by $\big({\frak G}^{\a,\b}_\f f\big)(x)=\int_{\R_+}\f\big(x^\a+y^\b\big)f(y)dy$.
Aleksandrov, A. B., Peller, V. V.
openaire +2 more sources
Continuous Compressed Sensing Hilbert-Schmidt Integral Operator
IEEE Access, 2022 Continuous Compressed-Sensing-Karhunen-Loéve Expansion (CS-KLE) has been proposed. Compressed sensing has been proposed as a highly efficient computational method to represent compressible signals using a few numbers of linear functional.
Mohammadreza Robaei, Robert Akl
doaj +1 more source
Convolution Integral Operators
Siberian Mathematical Journal, 2018 The author considers the space $L_2:=L_2(\mathbb{R}^N)$ consisting of the measurable and square-integrable functions on $\mathbb{R}^{N}$. As in the work by \textit{L. Hörmander} [Acta Math. 104, 93--140 (1960; Zbl 0093.11402)], the author considers the space $L_2^2$ being the set of all continuous linear operators in $L_2$ which commute with shifts ...
openaire +2 more sources
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 +4 more
doaj +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
GENERALIZED RESOLVENTS OF OPERATORS GENERATED BY INTEGRAL EQUATIONS
Проблемы анализа, 2018 We define a minimal operator L0 generated by an integral equation with an operator measure and give a description of the adjoint operator L∗0. We prove that every generalized resolvent of L0 is an integral operator and give a description of boundary ...
V. M. Bruk
doaj +1 more source
Volterra integral operator and essential norm on Dirichlet type spaces
AIMS Mathematics, 2021 In this paper, we study the boundedness and essential norm of Volterra integral operator $ V_g $ and integral operator $ S_g $ on Dirichlet type spaces $ {\mathcal{D}_{K, \alpha}} $.
Liu Yang, Ruishen Qian
doaj +1 more source