[图书][B] Continuous semigroups of holomorphic self-maps of the unit disc
F Bracci, MD Contreras, S Díaz-Madrigal - 2020 - Springer
Continuous one-parameter semigroups of holomorphic self-maps of the unit disc D in the
complex plane C have been a subject of study since early 1900s, both for their intrinsic …
complex plane C have been a subject of study since early 1900s, both for their intrinsic …
[图书][B] Classical and stochastic Laplacian growth
One of the most influential works in fluid dynamics at the edge of the XIXth and XXth
centuries was a series of papers, see, eg,[265], written by Henry Selby Hele-Shaw between …
centuries was a series of papers, see, eg,[265], written by Henry Selby Hele-Shaw between …
Fekete-Szegö problem for univalent mappings in one and higher dimensions
In this paper, we will give the Fekete-Szegö inequality for the mappings f in various
subclasses of normalized univalent mappings which are the first elements of g-Loewner …
subclasses of normalized univalent mappings which are the first elements of g-Loewner …
Evolution families and the Loewner equation I: the unit disc
B Filippo, MD Contreras… - Journal für die reine und …, 2012 - degruyter.com
In this paper we introduce a general version of the Loewner differential equation which
allows us to present a new and unified treatment of both the radial equation introduced in …
allows us to present a new and unified treatment of both the radial equation introduced in …
Solutions for the generalized Loewner differential equation in several complex variables
We generalize a one-variable result of J. Becker to several complex variables. We determine
the form of arbitrary solutions of the Loewner differential equation that is satisfied by …
the form of arbitrary solutions of the Loewner differential equation that is satisfied by …
An abstract approach to Loewner chains
We present a new geometric construction of Loewner chains in one and several complex
variables which holds on complete hyperbolic complex manifolds and prove that there is …
variables which holds on complete hyperbolic complex manifolds and prove that there is …
Variation of Loewner Chains, Extreme and Support Points in the Class in Higher Dimensions
We introduce a family of natural normalized Loewner chains in the unit ball, which we call
“geräumig”—spacious—which allow us to construct, by means of suitable variations, other …
“geräumig”—spacious—which allow us to construct, by means of suitable variations, other …
Support Points and Extreme Points for Mappings with -Parametric Representation in
Abstract Let A ∈ L (C^ n) A∈ L (C n) be a linear operator such that k_+(A)< 2m (A) k+(A)< 2
m (A), where k_+(A) k+(A) is the upper exponential index of AA and m (A)=\min {R ⟨ A (z), z …
m (A), where k_+(A) k+(A) is the upper exponential index of AA and m (A)=\min {R ⟨ A (z), z …
Loewner chains in the unit disk
MD Contreras, S Díaz-Madrigal… - Revista Matemática …, 2010 - ems.press
In this paper we introduce a general version of the notion of Loewner chains which comes
from the new and unified treatment, given in [Bracci, F., Contreras, MD and Díaz-Madrigal …
from the new and unified treatment, given in [Bracci, F., Contreras, MD and Díaz-Madrigal …
[HTML][HTML] Solving the Loewner PDE in complete hyperbolic starlike domains of CN
Solving the Loewner PDE in complete hyperbolic starlike domains of CN - ScienceDirect Skip to
main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …
main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …