Search Results - Bloch functions, normal functions of several complex variables

Some new characterizations of the boundedness and compactness of weighted composition operators between Bloch-type spaces by Lam, Lien Vuong, Van Dai, Nguyen, Quang, Thai Thuan

“…Let ψ∈H(Bn) be the space of all holomorphic functions on the unit ball Bn of Cn and φ=(φ1,…,φn)∈S(Bn) the set of holomorphic self-maps of Bn…”
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Weighted composition operators on weighted-type high-order growth spaces on the unit ball by Quang, Thai Thuan

“…)|<∞} of holomorphic functions on the unit ball B of CN, where ω is a normal weight on B and R(n)f is the n-order radial derivative of f…”
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Semi-Bloch Functions in Several Complex Variables by Backlund, Ulf, Carlsson, Linus, Fällström, Anders, Persson, Håkan

“…Let M be an n -dimensional complex manifold. A holomorphic function f : M → C is said to be semi-Bloch if for every λ ∈ C the function g λ = exp ( λ f ( z ) ) is normal on M…”
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Some new characterizations of the boundedness and compactness of weighted composition operators between Bloch-type spaces: Some new characterizations by Lam, Lien Vuong, Van Dai, Nguyen, Quang, Thai Thuan

“… between (little) Bloch-type spaces where ν , μ are normal weights on B n . We characterize the boundedness, compactness and give the asymptotic estimates of the norms of W ψ , φ…”
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Two normality criteria and the converse of the Bloch principle by Charak, K.S., Rieppo, J.

“…We prove two normality criteria for a family of meromorphic functions satisfying a certain differential condition and provide a counterexample to the converse…”
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BiBloch mappings and composition operators from Bloch type spaces to BMOA by Kwon, E.G., Pavlović, M.

“…The problem of constructing functions f 1 , f 2 analytic in the unit disc D of the complex plane satisfying | f 1 ′ ( z ) | + | f 2 ′ ( z ) | ≍ ψ ( 1 1 − | z | ) , z…”
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Semi-Bloch functions in several complex variables by Backlund, Ulf, Carlsson, Linus, Fällström, Anders, Persson, Håkan

“…Let \(M\) be an \(n\)-dimensional complex manifold. A holomorphic function \(f:M\to \mathbb C\) is said to be semi-Bloch if for every…”
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Results on meromorphic ϕ-normal functions by Aulaskari, Rauno, Makhmutov, Shamil, Rättyä, Jouni

“… ϕ-normal functions. In particular, an analogue of the Lohwater-Pommerenke theorem and several equivalent characterizations for ϕ…”
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Extended Cesaro operators from [mu]-Bloch spaces to Zygmund type spaces in the unit ball by Zhao, Yanhui

“… By the methods of functional analysis and several complex variables, the necessary and sufficient conditions are given for extended Cesaro operators T sub(g…”
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单位球上μ-Bloch空间到Zygmund型空间的加权Cesàro算子 by 赵艳辉

“…O174.56; 设α＞0，g是单位球B上的全纯函数，μ（r）是[0，1）上的正规权函数，利用泛函分析多复变的方法，讨论了单位球上μ‐Bloch空间到Zygmund型空间的加权Cesàro算子 Tg的有界性和紧性问题。并给出了单位球上μ‐Bloch空间到Zygmund型空间的加权Cesàro算子 Tg为有界算子和紧算子…”
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Weighted differentiation composition operators from mixed-norm spaces to weighted-type spaces by STEVIC, Stevo

“… ) ) , where u is a holomorphic function on the unit disk D , φ is a holomorphic self-map of D and n…”
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Several Integral Estimates and Some Applications by Zhang, Xuejun, Chen, Hongxin, Zhou, Min, Guo, Yuting, Tang, Pengcheng

“…,s)\) to the normal weight Bloch type space \(\mathcal{B_{\nu}}(B_{n})\) on the unit ball \(B_{n}\) of \(\mathbb{C}^{n}\), where \(\mu\) and \(\nu\) are two normal functions…”
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Families of bloch functions on higher dimensional complex spaces by Joseph, James E., Kwack, Myung H.

“… We introduce the notion of uniformly Bloch families on complex spaces, which notion includes that of Bloch function as defined and studied by authors in various settings, show that several known…”
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Asymptotic Behavior of Normal Mappings of Several Complex Variables by Hahn, Kyong T.

“… f:M → N is a closed subspace of ℓ(M, N). In this paper, generalizing the classical notions of normal functions, Bloch functions, regular sequences and P-point sequences of one complex variable to the mappings in ℋ(M, N), see also [25], we obtain various relations which exist between these notions…”
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Topics in geometric function theory by Liu, Xiangyang

“… The first one (Part I and Part II) concerns the geometric properties of Bloch functions (including Bloch functions of several complex variables…”
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