Results 51 to 60 of about 5,187,824 (197)
Compact composition operators on the Bloch space [PDF]
Transactions of the American Mathematical Society, 1995 Necessary and sufficient conditions are given for a composition operator C ϕ f = f o ϕ {C_\phi }f = f{\text {o}}\phi to be compact on the Bloch space B \mathcal {B} and on the little Bloch space
Madigan, Kevin, Matheson, Alec
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Weighted Differentiation Composition Operator from Logarithmic Bloch Spaces to Zygmund-Type Spaces
, 2014 Let denote the space of all holomorphic functions on the unit disk of , and let n be a positive integer, a holomorphic self-map of , and a weight. In this paper, we investigate the boundedness and compactness of a weighted differentiation composition ...
H. Qu, Yongmin Liu, Shulei Cheng
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Extended Cesàro Operators from Logarithmic-Type Spaces to Bloch-Type Spaces
Abstract and Applied Analysis, 2009 The boundedness and compactness of the extended Cesàro operator from logarithmic-type spaces to Bloch-type spaces on the unit ball are completely characterized in this paper.
Dinggui Gu
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Description of Bloch spaces, weighted Bergman spaces and invariant subspaces, and related questions
Kuwait Journal of Science, 2016 Let D be the unit disc of complex plane C, and H=Hol(D) the class of functions analytic in D. Recall that an f∈Hol(D) is said to belong to the Bloch space B=B(D) if ‖f‖_{B}:=sup_{z∈D}(1-|z|²)|f′(z)|
Mübariz T. Garayev +2 more
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Composition Operators from Certain μ-Bloch Spaces to QP Spaces
Abstract and Applied Analysis, 2014 Some necessary and sufficient conditions are established for composition operators Cφ to be bounded or compact from μ-Bloch type spaces Bμ to Qp spaces. Moreover, the boundedness, compactness, and Fredholmness of composition operators on little spaces Qp,
Chunyu Tan, Maofa Wang
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On Characterizations of Weighted Harmonic Bloch Mappings and Its Carleson Measure Criteria
Journal of Function Spaces, 2023 For α>0, several characterizations of the α-Bloch spaces of harmonic mappings are given. We also obtain several similar characterizations for the closed separable subspace. As an application, we give relations between BHα and Carleson’s measure.
Munirah Aljuaid, M. A. Bakhit
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Projections, the Weighted Bergman Spaces, and the Bloch Space [PDF]
Proceedings of the American Mathematical Society, 1990 The author extends some results of \textit{F. Forelli} and \textit{W. Rudin} [Indiana Univ. Math. J. 24, 593-602 (1974; Zbl 0297.47041)] and \textit{K. Zhu} [J. Funct. Anal. 81, No.2, 260-278 (1988; Zbl 0669.47019)]. Let B be the unit ball in \({\mathbb{C}}^ n\). H(B) denotes the class of holomorphic functions on B.
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Abstract and Applied Analysis, 2013 We characterize the boundedness and compactness of differences of the composition operators followed by differentiation between weighted Banach spaces of holomorphic functions in the unit disk.
Cui Chen, Ren-Yu Chen, Ze-Hua Zhou
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Integral composition operators between weighted Bergman spaces and weighted Bloch type spaces
Cubo, 2012 We characterize boundedness and compactness of integral composition operators acting between weighted Bergman spaces Av,p and weighted Bloch type spaces Bw.Caracterizamos la acotación y compacidad de operadores integrales compuestos actuando entre ...
Elke Wolf
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On an Integral-Type Operator Acting between Bloch-Type Spaces on the Unit Ball
Abstract and Applied Analysis, 2010 Let 𝔹 denote the open unit ball of ℂn. For a holomorphic self-map φ of 𝔹 and a holomorphic function g in 𝔹 with g(0)=0, we define the following integral-type operator: Iφgf(z)=∫01ℜf(φ(tz))g(tz)(dt/t), z∈𝔹.
Stevo Stević, Sei-Ichiro Ueki
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