Spectrum of compact weighted composition operators on the weighted Hardy space in the unit ball.

Zhou, Ze-Hua; Yuan, Cheng

Displaying similar documents to “Spectrum of compact weighted composition operators on the weighted Hardy space in the unit ball.”

Compact weighted composition operators and multiplication operators between Hardy spaces.

Ueki, Sei-Ichiro, Luo, Luo (2008)

Abstract and Applied Analysis

Similarity:

Differences of weighted composition operators from Hardy space to weighted-type spaces on the unit ball

Ze-Hua Zhou, Yu-Xia Liang (2012)

Czechoslovak Mathematical Journal

Similarity:

In this paper, we limit our analysis to the difference of the weighted composition operators acting from the Hardy space to weighted-type space in the unit ball of $ℂ^{N}$ , and give some necessary and sufficient conditions for their boundedness or compactness. The results generalize the corresponding results on the single weighted composition operators and on the differences of composition operators, for example, M. Lindström and E. Wolf: Essential norm of the difference of weighted composition...

On the dual space of a weighted Bergman space on the unit ball of $ℂ^{n}$ .

Choa, J.S., Kim, H.O. (1988)

International Journal of Mathematics and Mathematical Sciences

Similarity:

An estimate of the essential norm of a composition operator from $F (p, q, s)$ to $ℬ^{α}$ in the unit ball.

Zeng, Hong-Gang, Zhou, Ze-Hua (2010)

Journal of Inequalities and Applications [electronic only]

Similarity:

Bloch-to-Hardy composition operators

Evgueni Doubtsov, Andrei Petrov (2013)

Open Mathematics

Similarity:

Let φ be a holomorphic mapping between complex unit balls. We characterize those regular φ for which the composition operators C φ: f ↦ f ○ φ map the Bloch space into the Hardy space.

Norm equivalence and composition operators between Bloch/Lipschitz spaces of the ball.

Clahane, Dana D., Stević, Stevo (2006)

Journal of Inequalities and Applications [electronic only]

Similarity:

Composition operators from the weighted Bergman space to the $n$ th weighted spaces on the unit disc.

Stević, Stevo (2009)

Discrete Dynamics in Nature and Society

Similarity:

A theorem of Nehari type on weighted Bergman spaces of the unit ball.

Lu, Yufeng, Yang, Jun (2008)

Abstract and Applied Analysis

Similarity:

Compact weighted composition operators and fixed points in convex domains.

Clahane, Dana D. (2007)

Fixed Point Theory and Applications [electronic only]

Similarity:

Holomorphic Bloch spaces on the unit ball in $C^{n}$

A. V. Harutyunyan, Wolfgang Lusky (2009)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

This work is an introduction to anisotropic spaces of holomorphic functions, which have $ω$ -weight and are generalizations of Bloch spaces on a unit ball. We describe the holomorphic Bloch space in terms of the corresponding $L_{ω}^{\infty}$ space. We establish a description of ${(A^{p} (ω))}^{*}$ via the Bloch classes for all $0 < p \leq 1$ .