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composition operators

The compactness of the sum of weighted composition operators on the ball algebra

The compactness of the sum of weighted composition operators on the ball algebra

... the composition operator on the weighted Banach spaces of holomorphic functions in the unit disk, which was also extended to the unit polydisc by Wolf in ...weighted composition operators on the ...

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Bounded Composition Operators on Hardy Spaces

Bounded Composition Operators on Hardy Spaces

... When (φ + ε) ≡ 1 , we just have the composition operator C φ defined by C φ (f) = f ∘ φ . In this case, Littlewood’s subordination theorem says that C φ (f)ϵH δ+1 whenever fϵH δ+1 ; that is, C φ : H δ+1 ⟶ H δ+1 is ...

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Implementing flexible, extensible
composition operators

Implementing flexible, extensible composition operators

... of composition operators by using bindings and ...of composition operators using only the relatively sim- ple conditions that are available in ...

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On a Class of Composition Operators on Bergman Space

On a Class of Composition Operators on Bergman Space

... Berezin transform are so far mainly in the study of Toeplitz and Hankel operators on the Bergman space. Regardless of the original motivation of Berezin for introducing it, the Berezin transform essentially ...

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Products of differentiation and weighted composition operators from hardy spaces to weighted-type spaces

Products of differentiation and weighted composition operators from hardy spaces to weighted-type spaces

... weighted composition operators, on spaces of analytic functions, with the goal of explaining the operator-theoretic properties of W ψ,ϕ in terms of the function-theoretic properties of the induced maps ϕ ...

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Norms and essential norms of composition operators from H∞to general weighted Bloch spaces in the polydisk

Norms and essential norms of composition operators from H∞to general weighted Bloch spaces in the polydisk

... [6] to the unit ball, polydisk and other classical symmetric domains, see, for example, [7-17]. At the same time, there were also many papers dealing with the composition operators between Bloch-type spaces ...

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Product of differentiation and composition operators on the logarithmic Bloch space

Product of differentiation and composition operators on the logarithmic Bloch space

... the composition oper- ator is bounded on B ...of composition operators and weighted composition operators on the Bloch ...product-type operators on or into Bloch type spaces have ...

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Isometric composition operators on weighted Dirichlet type spaces

Isometric composition operators on weighted Dirichlet type spaces

... isometric composition operators on the Bloch spaces in the unit disk were dis- cussed by Martín and Vukotić [7], Colonna [8], Allen and Colonna [9,10], Li and Zhou ...isometric composition ...

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Generalized weighted composition operators on Bloch type spaces

Generalized weighted composition operators on Bloch type spaces

... weighted composition operators on Bloch-type spaces, especially we characterize them in terms of the sequence of Bloch-type norms of the generalized weighted composition operator applied to the ...

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n-power Quasi-isometry and n-power Normal Composition Operators on L2-spaces

n-power Quasi-isometry and n-power Normal Composition Operators on L2-spaces

... of composition operators and weighted composition operators on L 2 spaces have been analyzed by many ...of composition operators and their generalized Alugthe transformations as ...

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Weighted composition operators on the Dirichlet space: boundedness and spectral properties

Weighted composition operators on the Dirichlet space: boundedness and spectral properties

... On the other hand, we are interested in the spectral properties of weighted composition operators in D. In [12], Higdon computed the spectrum of composition operators in D induced by linear ...

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Analyticity and compactness of semigroups of composition operators

Analyticity and compactness of semigroups of composition operators

... We shall now give a sufficient condition for immediate compactness of a semigroup of composition operators, in terms of the associated function G. First, we recall a classical necessary and sufficient ...

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Composition Operators on Weighted Orlicz Sequence Spaces

Composition Operators on Weighted Orlicz Sequence Spaces

... In this paper, we study the boundedness of composition operators between any two weighted Orlicz sequence spaces.. Keywords.[r] ...

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Essential norm of weighted composition operators on Bargmann-Fock spaces

Essential norm of weighted composition operators on Bargmann-Fock spaces

... (weighted) composition operators on Fock-type spaces have been studied by the authors of these papers [3], [19], [22], [23], and ...weighted composition operator W ψ,ϕ acting from F α p ( C n ) to F ...

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Composition Operators and Multiplication Operators on Weighted Spaces of Analytic Functions

Composition Operators and Multiplication Operators on Weighted Spaces of Analytic Functions

... weighted composition operators on Hardy spaces, whereas Mirzakarimi and Siddighi [39] have considered these operators on Bergman and Dirichlet ...these operators can be found in the theory of ...

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3. THE PRODUCTS OF DIFFERENTIATION AND COMPOSITION OPERATORS ON BLOCH TYPE SPACES

3. THE PRODUCTS OF DIFFERENTIATION AND COMPOSITION OPERATORS ON BLOCH TYPE SPACES

... each composition operator is bounded on the Bloch ...of composition operator on the Bloch space. Product composition operator ans some other operators attracted considerable interest re- ...

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Differences of Weighted Composition Operators on

Differences of Weighted Composition Operators on

... composition operators. These works concerned with differences of weighted composition operators mainly focused on the setting of one ...weighted composition operators on weighted ...

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Composition operators on weighted Bergman spaces.

Composition operators on weighted Bergman spaces.

... studied composition opera- tors on the Hardy space H 2 ...general composition operators and gave the exact norm in the case where the symbol map is an inner ...

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Composition Operators on Weighted Orlicz Spaces

Composition Operators on Weighted Orlicz Spaces

... Manhas, Composition operators on function spaces, North Holland Math. Takagi, Compact weighted composition operators on L p -spaces, Proc.[r] ...

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Geometric properties of composition operators belonging to Schatten classes

Geometric properties of composition operators belonging to Schatten classes

... Abstract. We investigate the connection between the geometry of the image domain of an analytic function mapping the unit disk into itself and the membership of the compo- sition operator induced by this function in the ...

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