Result: Polynomially bounded solutions to the Loewner differential equation in several complex variables
Title:
Polynomially bounded solutions to the Loewner differential equation in several complex variables
Authors:
Source:
Journal of mathematical analysis and applications. 381(1):179-186
Publisher Information:
Amsterdam: Elsevier, 2011.
Publication Year:
2011
Physical Description:
print, 36 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Equations différentielles, Ordinary differential equations, Analyse mathématique, Mathematical analysis, Análisis matemático, Condition suffisante, Sufficient condition, Condición suficiente, Equation différentielle, Differential equation, Ecuación diferencial, Solution bornée, Bounded solution, Solución acotada, 32XX, 34XX, Plusieurs variables complexes, Several complex variables, Biholomorphic mapping, Loewner differential equation, Polynomially bounded, Subordination chain, Subordination
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Faculty of Engineering, Kyushu Sangyo University, 3-1 Matsukadai 2-Chome, Higashi-ku, Fukuoka 813-8503, Japan
ISSN:
0022-247X
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.24208101
Database:
PASCAL Archive
Further Information
We determine the form of polynomially bounded solutions to the Loewner differential equation that is satisfied by univalent subordination chains of the form f (z, t) = etAz+···, where A ∈ L(ℂn,ℂn) has the property m(A) > 0. Here m(A) = min{ℜ〈A(z), z〉: ∥z∥ = 1}. We also give sufficient conditions for g(z, t) = L(f(z, t)) to be polynomially bounded, where f(z,t) is an A-normalized polynomially bounded Loewner chain solution to the Loewner differential equation.