Distortion Theorems for Bloch Functions
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Publication:4015867
DOI10.2307/2154112zbMath0771.30022OpenAlexW4233620419MaRDI QIDQ4015867
Publication date: 29 November 1992
Full work available at URL: https://doi.org/10.2307/2154112
distortion theoremsBloch functionsnormal functionsYosida functionsschlicht functionsMarden constants
Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Normal functions of one complex variable, normal families (30D45) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Covering theorems in conformal mapping theory (30C25)
Related Items (26)
Distortion of locally biholomorphic Bloch mappings on bounded symmetric domains ⋮ A Schwarz lemma for multivalued functions and distortion theorems for Bloch functions with branch points ⋮ Distortion type theorems for functions in the logarithmic Bloch space ⋮ Landau-Bloch constants for functions in \(\alpha\)-Bloch spaces and Hardy spaces ⋮ A Schwarz lemma at the boundary on complex Hilbert balls and applications to starlike mappings ⋮ LANDAU’S THEOREM FOR SOLUTIONS OF THE -EQUATION IN DIRICHLET-TYPE SPACES ⋮ Bloch constants in several variables ⋮ Bloch constant of holomorphic mappings on the unit ball of \(\mathbb C^n\) ⋮ Bloch constant of holomorphic mappings on the unit polydisk of \(\mathbb C^n\) ⋮ \(\alpha\)-Bloch mappings on bounded symmetric domains in \(\mathbb C^n\) ⋮ LANDAU’S THEOREM AND MARDEN CONSTANT FOR HARMONIC ν-BLOCH MAPPINGS ⋮ A distortion theorem and the Bloch constant for Bloch mappings in \(\mathbb{C}^N\) ⋮ Distortion theorems in the (α, β)-Bloch logarithmic spaces ⋮ Bloch functions and Bloch constants ⋮ On the Bloch constant for \(K\)-quasiconformal mappings in several complex variables ⋮ Bloch constant and Landau's theorem for planar \(p\)-harmonic mappings ⋮ Distortion theorems on the Lie ball \({\mathcal R}_{\mathrm{IV}} (n)\) in \(\mathbb C^{n }\) ⋮ On the locally univalent Bloch constant ⋮ On the locally univalent Bloch constant ⋮ Distortion theorem for locally biholomorphic Bloch mappings on the unit ball \(\mathcal{B}^{n*}\) ⋮ Distortion theorems, Lipschitz continuity and their applications for Bloch type mappings on bounded symmetric domains in C^n ⋮ The Schwarz type lemmas and the Landau type theorem of mappings satisfying Poisson's equations ⋮ Loewner chains and the Roper-Suffridge extension operator ⋮ Distortion theorems for locally univalent Bloch functions ⋮ Truncating hyperbolic densities ⋮ The Bloch theorem in several complex variables
Cites Work
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- Lower bounds for the hyperbolic metric in convex regions
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- Computational methods and function theory. Proceedings of a conference, held in Valparaíso, Chile, March 13-18, 1989
- Marden constants for Bloch and normal functions
- A generalization of Schwarz' lemma
- On Bloch's Constant
- On a Class of Conformal Metrics
- On Bloch Functions
- An Extension of Schwarz's Lemma
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