Higher Dimensional Generalizations of the Bloch Constant and their Lower Bounds
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Publication:5685392
DOI10.2307/1996503zbMath0267.32012OpenAlexW4248181259MaRDI QIDQ5685392
Publication date: 1973
Full work available at URL: https://doi.org/10.2307/1996503
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Holomorphic mappings and correspondences (32H99) Other generalizations of function theory of one complex variable (32A30)
Related Items (14)
The Landau-Bloch type theorems for \(K\)-quasiregular pluriharmonic mappings ⋮ Distortion of biholomorphic maps on homogeneous domains in \(J^*\)-algebras ⋮ Landau-Bloch constants for functions in \(\alpha\)-Bloch spaces and Hardy spaces ⋮ Bloch Mappings on Bounded Symmetric Domains ⋮ Bloch constants in several variables ⋮ Normal families of holomorphic functions and mappings on a Banach space ⋮ Bloch constant of holomorphic mappings on the unit ball of \(\mathbb C^n\) ⋮ Bloch constant of holomorphic mappings on the unit polydisk of \(\mathbb C^n\) ⋮ A Landau's theorem in several complex variables ⋮ Pluriharmonic mappings in \(\mathbb{C}^n\) and complex Banach spaces ⋮ On the Bloch constant for \(K\)-quasiconformal mappings in several complex variables ⋮ Distortion theorems on the Lie ball \({\mathcal R}_{\mathrm{IV}} (n)\) in \(\mathbb C^{n }\) ⋮ On the size of balls covered by analytic transformations ⋮ The Bloch theorem in several complex variables
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