Results 1 to 10 of about 868 (84)

Disjoint diskcyclicity of weighted shifts

open access: yesOpen Mathematics, 2022
In this article, we will discuss disjoint diskcyclicity for finitely many operators acting on a separable, infinite dimensional Fréchet space XX. More precisely, we provide disjoint disk blow-up/collapse property and disjoint diskcyclicity criterion.
Wang Cui, Zhou Ze-Hua, Zhang Liang
doaj   +1 more source

Properties of multiplication operators on the space of functions of bounded φ-variation

open access: yesOpen Mathematics, 2021
In this paper, the functions u∈BVφ[0,1]u\in B{V}_{\varphi }\left[0,1] which define compact and Fredholm multiplication operators Mu{M}_{u} acting on the space of functions of bounded φ\varphi -variation are studied.
Castillo René E.   +2 more
doaj   +1 more source

On fixed point theorem in complete quasi-metric space under F-contraction mapping

open access: yesTikrit Journal of Pure Science, 2019
In this paper, a fixed point theorem under F-contraction mapping was considered and proved in complete quasi-metric space. This theorem was considered by Piri and Kumam in [1].
Rifaat Saad Abdul-Jabbar
doaj   +1 more source

Hypercyclicity of Composition Operators on Orlicz Function Spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this paper, we discuss the hypercyclic properties of composition operators on Orlicz function spaces. We give some different conditions under which a composition operator on Orlicz spaces is hyper-cyclic or not. Similarly, multiplication operators are
Jafari F., Kamali Z.
doaj   +1 more source

A derivative-Hilbert operator acting on Dirichlet spaces

open access: yesOpen Mathematics, 2023
Let μ\mu be a positive Borel measure on the interval [0,1)\left[0,1). The Hankel matrix Hμ=(μn,k)n,k≥0{{\mathcal{ {\mathcal H} }}}_{\mu }={\left({\mu }_{n,k})}_{n,k\ge 0} with entries μn,k=μn+k{\mu }_{n,k}={\mu }_{n+k}, where μn=∫[0,1)tndμ(t){\mu }_{n}={
Xu Yun, Ye Shanli, Zhou Zhihui
doaj   +1 more source

A new proof of a Nordgren, Rosenthal and Wintrobe Theorem on universal operators [PDF]

open access: yes, 2017
A striking result by Nordgren, Rosenthal and Wintrobe states that the Invariant Subspace Problem is equivalent to the fact that any minimal invariant subspace for a composition operator Cφ induced by a hyperbolic automorphism φ of the unit disc D acting ...
Cowen, Carl C.   +1 more
core   +1 more source

Radial growth of the derivatives of analytic functions in Besov spaces

open access: yesConcrete Operators, 2020
For 1 < p < ∞, the Besov space Bp consists of those functions f which are analytic in the unit disc 𝔻 = {z ∈ 𝔺 : |z| < 1} and satisfy ∫𝔻(1 − |z|2)p−2|f ′(z)|p dA(z) < ∞. The space B2 reduces to the classical Dirichlet space 𝒟.
Domínguez Salvador, Girela Daniel
doaj   +1 more source

On linear chaos in function spaces

open access: yesDemonstratio Mathematica, 2022
We show that, in Lp(0,∞){L}_{p}\left(0,\infty ) (1 ...
Jimenez John M., Markin Marat V.
doaj   +1 more source

Commutators of Hardy-Littlewood operators on p-adic function spaces with variable exponents

open access: yesOpen Mathematics, 2023
In this article, we obtain some sufficient conditions for the boundedness of commutators of pp-adic Hardy-Littlewood operators with symbols in central bounded mean oscillation space and Lipschitz space on the pp-adic function spaces with variable ...
Dung Kieu Huu, Thuy Pham Thi Kim
doaj   +1 more source

Compact weighted composition operators and fixed points in convex domains [PDF]

open access: yes, 2006
We extend a classical result of Caughran/Schwartz and another recent result of Gunatillake by showing that if D is a bounded, convex domain in n-dimensional complex space, m is a holomorphic function on D and bounded away from zero toward the boundary of
Clahane, Dana D.
core   +5 more sources

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