Results 1 to 10 of about 12,601 (303)

Fredholm Weighted Composition Operator on Weighted Hardy Space [PDF]

Journal of Function Spaces and Applications, 2013
This paper gives a unified characterization of Fredholm weighted composition operator on a class of weighted Hardy spaces.
Liankuo Zhao
doaj   +4 more sources

Antinormal Weighted Composition Operators [PDF]

Abstract and Applied Analysis, 2016
Let l2=L2N,μ, where N is set of all positive integers and μ is the counting measure whose σ-algebra is the power set of N. In this paper, we obtain necessary and sufficient conditions for a weighted composition operator to be antinormal on the Hilbert ...
Dilip Kumar, Harish Chandra
doaj   +5 more sources

Non-Weakly Supercyclic Weighted Composition Operators [PDF]

Abstract and Applied Analysis, 2010
We give sufficient conditions under which a weighted composition operator on a Hilbert space of analytic functions is not weakly supercyclic. Also, we give some necessary and sufficient conditions for hypercyclicity and supercyclicity of weighted ...
Z. Kamali, K. Hedayatian, B. Khani Robati   +2 more
doaj   +4 more sources

Fredholmness of multiplication of a weighted composition operator with its adjoint on H 2 $H^{2}$ and A α 2 $A_{\alpha}^{2}$ [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we obtain that C ψ , φ ∗ $C_{\psi,\varphi}^{\ast}$ is bounded below on H 2 $H^{2}$ or A α 2 $A_{\alpha}^{2}$ if and only if C ψ , φ $C_{\psi,\varphi }$ is invertible. Moreover, we investigate the Fredholm operators C ψ 1 , φ 1 C ψ 2 , φ 2 ∗
Mahmood Haji Shaabani
doaj   +2 more sources

Weighted Composition Operators on Hardy Spaces

Journal of Mathematical Analysis and Applications, 2001
This paper studies operators of the form \(f\mapsto (f\circ\varphi)\psi\) acting on Hardy spaces \(H^p\) of the unit disk \(D\), where \(\psi\) is analytic in \(D\) and \(\varphi\) is an analytic self-map of \(D\). Problems studied include the boundedness, compactness, weak compactness, and complete continuity of such operators.
Contreras, Manuel D, Hernández-Dı́az, Alfredo G   +1 more
openaire   +2 more sources

Norms of Composition Operators from Weighted Harmonic Bloch Spaces into Weighted Harmonic Zygmund Spaces

Journal of Function Spaces
This article examines the norms of composition operators from the weighted harmonic Bloch space BHλ ...
Munirah Aljuaid, M. A. Bakhit
doaj   +2 more sources

Weighted Composition Operators from Hardy to Zygmund Type Spaces [PDF]

Abstract and Applied Analysis, 2013
This paper aims at studying the boundedness and compactness of weighted composition operator between spaces of analytic functions. We characterize boundedness and compactness of the weighted composition operator from the Hardy spaces to the Zygmund ...
Shanli Ye, Zhengyuan Zhuo
doaj   +2 more sources

Weighted Composition Operator from Mixed Norm Space to Bloch-Type Space on the Unit Ball [PDF]

Abstract and Applied Analysis, 2014
We discuss the boundedness and compactness of the weighted composition operator from mixed norm space to Bloch-type space on the unit ball of Cn.
Yu-Xia Liang, Ren-Yu Chen
doaj   +2 more sources

Commutators of weighted composition operators

International Journal of Mathematics, 2014
In this paper, we prove that if the composition symbols φ and ψ are linear fractional non-automorphisms of 𝔻 such that φ(ζ) and ψ(ζ) belong to ∂𝔻 for some ζ ∈ ∂𝔻 and u, v ∈ H∞ are continuous on ∂𝔻 with u(ζ)v(ζ) ≠ 0, then [Formula: see text] is compact on H2 if and only if ζ is the common boundary fixed point of φ and ψ and one of the following ...
Jung, Sungeun, Kim, Yoenha, Ko, Eungil
openaire   +3 more sources

Weighted Composition Operators on the Zygmund Space [PDF]

Abstract and Applied Analysis, 2012
We characterize the boundedness and compactness of the weighted composition operator on the Zygmund space Z={f∈H(D):sup⁡z∈D(1-|z|2)|f″(z)|
Shanli Ye, Qingxiao Hu
doaj   +4 more sources