Titlebook: Geometric Function Theory in Higher Dimension; Filippo Bracci Book 2017 Springer International Publishing AG, part of Springer Nature 2017

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惰性气体

https://doi.org/10.1007/978-3-319-73126-1Geometric function theory; Several complex variables; Holomorphic dynamics; Loewner theory; Complex anal

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Filippo BracciIncludes contributions from leading international researchers in the area.Offers a survey of challenging open problems in this field.Provides deep insights into new connections between different areas

语源学

Fixed Points of Pseudo-Contractive Holomorphic Mappings, Specifically we consider holomorphic pseudo-contractions on the open unit ball of a complex Banach space which in general are not necessarily bounded. As a consequence, we obtain sufficient conditions for the existence and uniqueness of the common fixed point of a semigroup of holomorphic self-mapp

小故事

On Parabolic Dichotomy,verges to zero. It is an open question whether such a dichotomy holds in the unit ball .. We show how this question is related to the theory of canonical Kobayashi hyperbolic semi-models, to commuting holomorphic self-maps of the ball and to a purely geometric problem about biholomorphisms of the ba

mydriatic

Parametric Representations and Boundary Fixed Points of Univalent Self-Maps of the Unit Disk,rmalized by .(0) = 0 and .(0) > 0 can be obtained as the reachable set of the Loewner–Kufarev control system . where the control functions . form a certain convex cone. Here we extend this result to the semigroup . consisting of all conformal . whose set of boundary regular fixed points contains a g

Intend

,Is There a Teichmüller Principle in Higher Dimensions?,ns of one complex variable is connected with an associated quadratic differential. The purpose of this paper is to indicate a possible way of extending Teichmüller’s principle to several complex variables. This approach is based on the Loewner differential equation.

LOPE

Open Problems Related to a Herglotz-Type Formula for Vector-Valued Mappings,t ball . of ., as integrals of a fixed kernel with respect to a family of probability measures on .. Since not every probability measure arises in the representation, there are resulting questions regarding the characterization of the family of representing measures. In a manner similar to how the o

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