Holomorphic Mappings of the Hyperbolic Space into the Complex Euclidean Space and the Bloch Theorem
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Publication:5686288
DOI10.4153/CJM-1975-053-0zbMath0269.32014OpenAlexW2333844681MaRDI QIDQ5686288
Publication date: 1975
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/cjm-1975-053-0
Holomorphic mappings and correspondences (32H99) Other generalizations of function theory of one complex variable (32A30) General theory of univalent and multivalent functions of one complex variable (30C55)
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Distortion of locally biholomorphic Bloch mappings on bounded symmetric domains ⋮ Bloch space of a bounded symmetric domain and composition operators ⋮ Banach-valued Bloch-type functions on the unit ball of a Hilbert space and weak spaces of Bloch-type ⋮ Bloch Mappings on Bounded Symmetric Domains ⋮ Weighted composition operators from the Bloch spaces to weighted Hardy spaces on bounded symmetric domains ⋮ Bloch functions on bounded symmetric domains ⋮ Weighted composition operators from \(H^{\infty }\) to the Bloch space of infinite dimensional bounded symmetric domains ⋮ A distortion theorem and the Bloch constant for Bloch mappings in \(\mathbb{C}^N\) ⋮ Asymptotic properties of normal and nonnormal holomorphic mappings ⋮ Norm of the multiplication operators from \(H^{\infty }\) to the Bloch space of a bounded symmetric domain ⋮ Bounded Holomorphic Functions on Bounded Symmetric Domains ⋮ On the isometric composition operators on the Bloch space in \(\mathbb C^n\) ⋮ Bloch type spaces on the unit ball of a Hilbert space ⋮ Multiplication operators on the Bloch space of infinite dimensional bounded symmetric domains ⋮ Weighted space and Bloch-type space on the unit ball of an infinite dimensional complex Banach space ⋮ The Lindelöf principle and normal functions of several complex variables ⋮ Bloch functions on the unit ball of a Banach space ⋮ The Bloch theorem in several complex variables ⋮ Some new characterizations of the Bloch space
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