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Bounded superposition operators between Bloch–Orlicz and α-Bloch spaces
Applied Mathematics and Computation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Castillo, René Erlin +2 more
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Mathematical methods in the applied sciences, 2021
Let Mu be the multiplication operator with symbol u which is a holomorphic function on the open unit ball 𝔹 in ℂn,Cφ the composition operator with symbol φ which is a holomorphic self‐map of 𝔹 , and ℜm,m∈ℕ , the mth iterated radial derivative operator ...
S. Stević, Z. Jiang
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Let Mu be the multiplication operator with symbol u which is a holomorphic function on the open unit ball 𝔹 in ℂn,Cφ the composition operator with symbol φ which is a holomorphic self‐map of 𝔹 , and ℜm,m∈ℕ , the mth iterated radial derivative operator ...
S. Stević, Z. Jiang
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POWERS OF COMPOSITION OPERATORS: ASYMPTOTIC BEHAVIOUR ON BERGMAN, DIRICHLET AND BLOCH SPACES
Journal of the Australian Mathematical Society, 2019We study the asymptotic behaviour of the powers of a composition operator on various Banach spaces of holomorphic functions on the disc, namely, standard weighted Bergman spaces (finite and infinite order), Bloch space, little Bloch space, Bloch-type ...
W. Arendt +3 more
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Composition operators on Bloch and Hardy type spaces
Mathematische Zeitschrift, 2022The main purpose of this paper is to discuss Hardy type spaces, Bloch type spaces and the composition operators of complex-valued harmonic functions. We first establish a sharp estimate of the Lipschitz continuity of complex-valued harmonic functions in ...
Shaolin Chen, H. Hamada, Jian-Feng Zhu
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Acta Mathematica Scientia, 2018
We characterize boundedness and compactness of products of differentiation operators and weighted composition operators between weighted Banach spaces of analytic functions and weighted Zygmund spaces or weighted Bloch spaces with general weights.
J. Manhas, R. Zhao
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We characterize boundedness and compactness of products of differentiation operators and weighted composition operators between weighted Banach spaces of analytic functions and weighted Zygmund spaces or weighted Bloch spaces with general weights.
J. Manhas, R. Zhao
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Classical operators on BLOCH spaces
Journal of Mathematical Sciences, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Superposition Operators on Bloch-Type Spaces
Computational Methods and Function Theory, 2007The article deals with the superposition operator \(S_\varphi(f)(z) = \varphi(f(z))\) between the Bloch-type spaces \({\mathcal B}^\alpha\), \(0 < \alpha < \infty\), of all analytic functions \(f(z)\) on the unit disk satisfying \[ \| f\| _{{\mathcal B}^\alpha} = | f(0)| + \sup_{| z| < 1}(1 - | z| ^2)^\alpha \, | f'(z)| < \infty \] (\({\mathcal B ...
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Some Operator Ideal Properties of Volterra Operators on Bergman and Bloch Spaces
Integral equations and operator theory, 2023Joelle Jreis, P. Lefèvre
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WEIGHTED BERGMAN SPACES, BLOCH SPACE AND DING SPACE
Acta Mathematica Scientia, 1989Abstract In this paper we give some alternate descriptions of the Bloch space and a relations between the Bloch space and a special class of Ba space which generalize some of the results by Axlex, He and Ouyang respectively, and we give a proof of the theorem about the bounded and compact Hankel operator on weighted Bergman space.
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Bloch-Oscillations in Frequency Space
Nonlinear Guided Waves and Their Applications, 2005We show that based on the concept of Bloch-oscillations distortion free signal transfer between different frequency channels and spectral demultiplexing can be realized in a single mode fiber.
U. Peschel, T. Pertsch, F. Lederer
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