Results 11 to 20 of about 4,469,777 (359)

The essential norm of a composition operator on Bloch spaces [PDF]

, 1999
and that B0 is a closed subspace of B. Good sources for results and references about Bloch functions are the papers of Anderson-Clunie-Pommerenke [ACP], Fernández [Fe], Pommerenke [Po], and the book of Zhu [Zh, Chapter 5]. If φ is an analytic function on
Alfonso Montes-Rodrı́guez
openalex   +2 more sources

Cyclic Composition operators on Segal-Bargmann space

Concrete Operators, 2022
We study the cyclic, supercyclic and hypercyclic properties of a composition operator Cϕ on the Segal-Bargmann space ℋ(ℰ), where ϕ(z) = Az + b, A is a bounded linear operator on ℰ, b ∈ ℰ with ||A|| ⩽ 1 and A*b belongs to the range of (I – A*A)½ ...
Ramesh G., Ranjan B. Sudip, Naidu D. Venku   +2 more
doaj   +1 more source

soft sets, soft rough sets, soft pre-rough sets, information system, decision making

AIMS Mathematics, 2023
For any real $ \beta $ let $ H^2_\beta $ be the Hardy-Sobolev space on the unit disc $ {\mathbb D} $. $ H^2_\beta $ is a reproducing kernel Hilbert space and its reproducing kernel is bounded when $ \beta > 1/2 $.
Li He
doaj   +1 more source

Product Type Operators Involving Radial Derivative Operator Acting between Some Analytic Function Spaces

Mathematics, 2021
Let N denote the set of all positive integers and N0=N∪{0}. For m∈N, let Bm={z∈Cm:|z|
Manisha Devi, Kuldip Raj, Mohammad Mursaleen   +2 more
doaj   +1 more source

Approximation and entropy numbers of composition operators

Concrete Operators, 2020
We give a survey on approximation numbers of composition operators on the Hardy space, on the disk and on the polydisk, and add corresponding new results on their entropy numbers, revealing how they are different.
Li Daniel, Queffélec Hervé, Rodríguez-Piazza Luis   +2 more
doaj   +1 more source

The Numerical Range of C*ψ Cφ and Cφ C*ψ

Concrete Operators, 2021
In this paper we investigate the numerical range of C*bφm Caφn and Caφn C*bφm on the Hardy space where φ is an inner function fixing the origin and a and b are points in the open unit disc.
Clifford John, Dabkowski Michael, Wiggins Alan   +2 more
doaj   +1 more source

Hypercyclicity of Composition Operators on Orlicz Function Spaces

Moroccan 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

Power bounded and power bounded below composition operators on Dirichlet Type spaces

AIMS Mathematics, 2021
Motivated by [11,12], under some conditions on weighted function K, we investigated power bounded and power bounded below composition operators on Dirichlet Type spaces $ {\mathcal{D}_{K}} $.
Liu Yang, Ruishen Qian
doaj   +1 more source

On the Nemytskii Operator in the Space of Functions of Bounded (p, 2, α)-Variation with Respect to the Weight Function

Demonstratio Mathematica, 2014
In this paper, we consider the Nemytskii operator (Hf)(t) = h(t, f(t)), generated by a given function h. It is shown that if H is globally Lipschitzian and maps the space of functions of bounded (p,2,α)-variation (with respect to a weight function α ...
Aziz Wadie
doaj   +1 more source

Composition operators on the polydisc

Journal of Functional Analysis, 2023
We study the boundedness of composition operators on the weighted Bergman spaces and the Hardy space over the polydisc. For arbitrary polydisc we prove the rank sufficiency theorem which, in particular, provides us with a simple criterion describing boundedness of composition operators on the spaces over the bidisc.
openaire   +3 more sources