Boundary vs. interior conditions associated with weighted composition operators

Kei Izuchi; Yuko Izuchi; Shûichi Ohno

Displaying similar documents to “Boundary vs. interior conditions associated with weighted composition operators”

Isometries on products of composition and integral operators on Bloch type space.

Li, Geng-Lei, Zhou, Ze-Hua (2010)

Journal of Inequalities and Applications [electronic only]

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On the generalized Hardy spaces.

Fatehi, M. (2010)

Abstract and Applied Analysis

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Differences of composition operators on the space of bounded analytic functions in the polydisc.

Fang, Zhong-Shan, Zhou, Ze-Hua (2008)

Abstract and Applied Analysis

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Differences of weighted composition operators on $H_{α}^{\infty} {(B_{N})}^{*}$ .

Dai, Jineng, Ouyang, Caiheng (2009)

Journal of Inequalities and Applications [electronic only]

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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

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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...

Compact differences of composition operators on weighted Dirichlet spaces

Robert Allen, Katherine Heller, Matthew Pons (2014)

Open Mathematics

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Here we consider when the difference of two composition operators is compact on the weighted Dirichlet spaces . Specifically we study differences of composition operators on the Dirichlet space and S 2, the space of analytic functions whose first derivative is in H 2, and then use Calderón’s complex interpolation to extend the results to the general weighted Dirichlet spaces. As a corollary we consider composition operators induced by linear fractional self-maps of the disk. ...

Weighted differentiation composition operators from the mixed-norm space to the $n$ th weigthed-type space on the unit disk.

Stević, Stevo (2010)

Abstract and Applied Analysis

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New criteria for boundedness and compactness of weighted composition operators mapping into the Bloch space

Flavia Colonna (2013)

Open Mathematics

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Let ψ and φ be analytic functions on the open unit disk $𝔻$ with φ( $𝔻$ ) ⊆ $𝔻$ . We give new characterizations of the bounded and compact weighted composition operators W ψ,ϕ from the Hardy spaces H p, 1 ≤ p ≤ ∞, the Bloch space B, the weighted Bergman spaces A αp, α > − 1,1 ≤ p < ∞, and the Dirichlet space $𝒟$ to the Bloch space in terms of boundedness (respectively, convergence to 0) of the Bloch norms of W ψ,ϕ f for suitable collections of functions f in the respective spaces. We also...

Essential norm of the difference of composition operators on Bloch space

Ke-Ben Yang, Ze-Hua Zhou (2010)

Czechoslovak Mathematical Journal

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Let $ϕ$ and $ψ$ be holomorphic self-maps of the unit disk, and denote by $C_{ϕ}$ , $C_{ψ}$ the induced composition operators. This paper gives some simple estimates of the essential norm for the difference of composition operators $C_{ϕ} - C_{ψ}$ from Bloch spaces to Bloch spaces in the unit disk. Compactness of the difference is also characterized.