Results 61 to 70 of about 5,187,824 (197)
Composition operator on Bloch type spaces
Analysis, 2003 Let \(D\) be the unit disk of the complex plane and let \(C_\varphi\) be the composition operator induced by a holomorphic self-map \(\varphi\) of \(D\). The author introduces the so-called Bloch type spaces and characterizes boundedness and compactness of a composition operator \(C_\varphi\) acting between various combinations of such Bloch type ...
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Composition Operators Mapping Logarithmic Bloch Functions into Hardy Space
Journal of Function Spaces, 2018 Characterizing the hyperbolic Hardy classes, several g-functions of hyperbolic type are introduced. Using this, necessary and sufficient conditions on the inducing self-maps are established for the boundedness of the composition operators from ...
E. G. Kwon
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Qp-spaces on bounded symmetric domains
Journal of Function Spaces and Applications, 2008 We generalize the theory of Qp spaces, introduced on the unit disc in 1995 by Aulaskari, Xiao and Zhao, to bounded symmetric domains in Cd, as well as to analogous Moebius-invariant function spaces and Bloch spaces defined using higher order derivatives;
Jonathan Arazy, Miroslav Engliš
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Multiplication operators on weighted Bloch spaces of the first Cartan domains
Journal of Inequalities and Applications, 2020 Let ℜ I ( m , n ) $\Re_{I}(m,n)$ be the first Cartan domain. Motivated by some results of the multiplication operators on the holomorphic function spaces on the unit ball of C n ${\mathbb {C}}^{n}$ , we study multiplication operators on weighted Bloch ...
Zhi-jie Jiang
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Fractional Derivative Description of the Bloch Space
Potential AnalysisAbstractWe establish new characterizations of the Bloch space $$\mathcal {B}$$ B which include descriptions in terms of classical fractional derivatives. Being precise, for an analytic function $$f(z)=\sum _{n=0}^\infty \widehat{f}(n) z^n$$ f (
Moreno, Álvaro Miguel +2 more
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Journal of Function Spaces, 2020 Let σ be a weight function such that σ/1−z2α is in the class Bp0α of Békollé weights, μ a normal weight function, ψ a holomorphic map on D, and φ a holomorphic self-map on D.
Elina Subhadarsini, Ajay K. Sharma
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Composition Operators in Hyperbolic Bloch-Type and Fp,q,s Spaces
Abstract and Applied Analysis, 2014 Composition operators Cφ from Bloch-type ℬα spaces to Fp,q,s classes, from Fp,q,s to ℬα, and from Fp1,q1,0 to Fp2,q2,s2 are considered. The criteria for these operators to be bounded or compact are given.
Marko Kotilainen +1 more
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TOEPLITZ OPERATORS ON BLOCH-TYPE SPACES AND A GENERALIZATION OF BLOCH-TYPE SPACES
Journal of the Chungcheong Mathematical Society, 2014 We deal with the boundedness of the n-th derivatives of Bloch-type functions and Toeplitz operators and give a relationship between Bloch-type spaces and ranges of Toeplitz operators. Also we prove that the vanishing property of jjuk fi jj s;fi on the boundary ofD implies the compactness of Toeplitz operators and introduce a generalization of Bloch ...
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Weighted Composition Operators between Bloch-Type Spaces
Rocky Mountain Journal of Mathematics, 2003 For analytic functions \(u\) on the unit disk \(D\) and analytic mappings \(\phi: D \to D\), the weighted composition operator \(uC_\phi\) is defined by \(uC_\phi(f) = u(f \circ \phi)\) for \(f\) analytic on \(D\). In the paper under review, the authors consider these operators acting on the weighted Bloch-type spaces \(\mathbb B^\alpha\) and \(\mathbb
Ohno, Shûichi +2 more
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Integral-Type Operators from Bloch-Type Spaces to QK Spaces
Abstract and Applied Analysis, 2011 The boundedness and compactness of the integral-type operator Iφ,g(n)f(z)=∫0zf(n)(φ(ζ))g(ζ)dζ, where n∈N0, φ is a holomorphic self-map of the unit disk D, and g is a holomorphic function on D, from α-Bloch spaces to QK spaces are characterized.
Stevo Stević, Ajay K. Sharma
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