On Bloch's Constant
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Publication:3198081
DOI10.2307/2047734zbMath0713.30033OpenAlexW4244396238MaRDI QIDQ3198081
Publication date: 1990
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2047734
Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Normal functions of one complex variable, normal families (30D45) Covering theorems in conformal mapping theory (30C25)
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Distortion of locally biholomorphic Bloch mappings on bounded symmetric domains ⋮ Inverse function theorem on the class of holomorphic self-maps of a disc with two fixed points ⋮ On the fixed point method and Bloch's theorem ⋮ Landau-Bloch constants for functions in \(\alpha\)-Bloch spaces and Hardy spaces ⋮ Schwarz lemma at the boundary on the classical domain of type \(\mathcal{III}\) ⋮ Landau theorem for planar harmonic mappings ⋮ Schwarz-type lemma at the boundary for mappings satisfying non-homogeneous polyharmonic equations ⋮ Landau and Bloch constants for meromorphic functions ⋮ Schwarz lemma at the boundary for holomorphic and pluriharmonic mappings between \(p\)-unit balls ⋮ The boundary Schwarz Lemma and the rigidity theorem on Reinhardt domains \(B_p^n\) of \(\mathbb{C}^n\) ⋮ LANDAU’S THEOREM FOR SOLUTIONS OF THE -EQUATION IN DIRICHLET-TYPE SPACES ⋮ Bloch Mappings on Bounded Symmetric Domains ⋮ Bloch constant of holomorphic mappings on the unit ball of \(\mathbb C^n\) ⋮ Schwarz lemma at the boundary of the unit ball in \(\mathbb C^n\) and its applications ⋮ Bloch constant of holomorphic mappings on the unit polydisk of \(\mathbb C^n\) ⋮ \(\alpha\)-Bloch mappings on bounded symmetric domains in \(\mathbb C^n\) ⋮ A distortion theorem and the Bloch constant for Bloch mappings in \(\mathbb{C}^N\) ⋮ Bloch functions and Bloch constants ⋮ Distortion theorems on the Lie ball \({\mathcal R}_{\mathrm{IV}} (n)\) in \(\mathbb C^{n }\) ⋮ Distortion Theorems for Bloch Functions ⋮ The Landau-Bloch type theorems for planar harmonic mappings with bounded dilation ⋮ On the locally univalent Bloch constant ⋮ Coefficients estimate for harmonic \(v\)-Bloch mappings and harmonic \(K\)-quasiconformal mappings ⋮ On the locally univalent Bloch constant ⋮ The Landau theorem and Bloch theorem for planar harmonic and pluriharmonic mappings ⋮ Distortion theorem for locally biholomorphic Bloch mappings on the unit ball \(\mathcal{B}^{n*}\) ⋮ Towards optimal gradient bounds for the torsion function in the plane ⋮ Schwarz lemma at the boundary on the classical domain of type \(\mathcal{IV}\) ⋮ The Schwarz type lemmas and the Landau type theorem of mappings satisfying Poisson's equations ⋮ On Bloch seminorm of finite Blaschke products in the unit disk ⋮ BOUNDARY SCHWARZ LEMMA FOR SOLUTIONS TO NONHOMOGENEOUS BIHARMONIC EQUATIONS ⋮ Distortion theorem for Bloch mappings on the unit ball \(\mathcal B^n\) ⋮ On Bloch's constant ⋮ The Bloch theorem in several complex variables ⋮ Covering properties of most entire functions on Stein manifolds
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