A New Essential Norm Estimate of Composition Operators from Weighted Bloch Space into -Bloch Spaces [PDF]
Journal of Function Spaces and Applications, 2013 Let be any weight function defined on the unit disk and let be an analytic self-map of . In the present paper, we show that the essential norm of composition operator mapping from the weighted Bloch space to -Bloch space is comparable to where for ,
René E. Castillo +2 more
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Distance from Bloch-Type Functions to the Analytic Space F(p,q,s) [PDF]
Abstract and Applied Analysis, 2014 The analytic space F(p,q,s) can be embedded into a Bloch-type space. We establish a distance formula from Bloch-type functions to F(p,q,s), which generalizes the distance formula from Bloch functions to BMOA by Peter Jones, and to F(p,p-2,s) by Zhao.
Cheng Yuan, Cezhong Tong
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A characterization of Bloch space and Besov space
Journal of Mathematical Analysis and Applications, 2006 The analytic Besov space \(B_p ...
Kwon, E.G.
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The closure of derivative average radial integrable spaces in the Bloch space
Journal of Inequalities and ApplicationsA description of the closure in the Bloch space of the Bloch functions that are in the derivative average radial integrable space is given. As a byproduct, we get some new characterizations for the Bloch space B $\mathcal{B}$ , the little Bloch space B 0
Xiangling Zhu, Rong Yang
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Weighted Composition Operator from Mixed Norm Space to Bloch-Type Space on the Unit Ball [PDF]
Abstract and Applied Analysis, 2014 We discuss the boundedness and compactness of the weighted composition operator from mixed norm space to Bloch-type space on the unit ball of Cn.
Yu-Xia Liang, Ren-Yu Chen
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Essential norm of generalized weighted composition operators from the Bloch space to the Zygmund space [PDF]
Journal of Inequalities and Applications, 2016 In this paper, we give some estimates of the essential norm for generalized weighted composition operators from the Bloch space to the Zygmund space. Moreover, we give a new characterization for the boundedness and compactness of the operator.
Qinghua Hu +3 more
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Distortion Type Theorems for Functions in the Logarithmic Bloch Space [PDF]
Journal of Function Spaces, 2017 We establish distortion type theorems for locally schlicht functions and for functions having branch points satisfying a normalized Bloch condition in the closed unit ball of the logarithmic Bloch space Blog.
Armando J. García-Ortíz +2 more
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A New Characterization of Generalized Weighted Composition Operators from the Bloch Space into the Zygmund Space [PDF]
Journal of Function Spaces and Applications, 2013 A new criterion for the boundedness and the compactness of the generalized weighted composition operators from the Bloch space into the Zygmund space is given in this paper.
Hao Li, Xiaohong Fu
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Bloch type spaces on the unit ball of a Hilbert space [PDF]
, 2019 summary:We initiate the study of Bloch type spaces on the unit ball of a Hilbert space. As applications, the Hardy-Littlewood theorem in infinite-dimensional Hilbert spaces and characterizations of some holomorphic function spaces related to the Bloch ...
Xu, Zhenghua
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On the Closures of Dirichlet Type Spaces in the Bloch Space
Complex Analysis and Operator Theory, 2017 Let $\mathbb{D}$ be the open unit disk in the complex plane, and let $\mathrm{Hol}(\mathbb{D})$ denote the space of holomorphic functions on the unit disk. A function $f\in\mathrm{Hol}(\mathbb{D})$ is said to belong to the Bloch space $\mathcal{B}$ if \[ \|f\|_{\mathcal{B}}=|f(0)|+\sup_{z\in\mathbf{D}}(1-|z|^2)|f^\prime (z)|-1$, the space $\mathcal{D ...
Guanlong Bao, Nihat Gökhan Göğüş
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