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Author Chuaqui, M.; Hamada, H.; Hernandez, R.; Kohr, G.
Title Pluriharmonic mappings and linearly connected domains in C-n Type
Year (up) 2014 Publication Israel Journal Of Mathematics Abbreviated Journal Isr. J. Math.
Volume 200 Issue 1 Pages 489-506
Keywords
Abstract In this paper we obtain certain sufficient conditions for the univalence of pluriharmonic mappings defined in the unit ball of C-n . The results are generalizations of conditions of Chuaqui and Hernandez that relate the univalence of planar harmonic mappings with linearly connected domains, and show how such domains can play a role in questions regarding injectivity in higher dimensions. In addition, we extend recent work of Hernandez and Martin on a shear type construction for planar harmonic mappings, by adapting the concept of stable univalence to pluriharmonic mappings of the unit ball into C-n .
Address [Chuaqui, Martin] Pontificia Univ Catolica Chile, Fac Matemat, Santiago 22, Chile, Email: mchuaqui@mat.puc.cl;
Corporate Author Thesis
Publisher Hebrew Univ Magnes Press Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0021-2172 ISBN Medium
Area Expedition Conference
Notes WOS:000338204700022 Approved
Call Number UAI @ eduardo.moreno @ Serial 389
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Author Bravo, M.; Cominetti, R.
Title Sharp convergence rates for averaged nonexpansive maps Type
Year (up) 2018 Publication Israel Journal Of Mathematics Abbreviated Journal Isr. J. Math.
Volume 227 Issue 1 Pages 163-188
Keywords
Abstract We establish sharp estimates for the convergence rate of the Kranosel'skiA-Mann fixed point iteration in general normed spaces, and we use them to show that the optimal constant of asymptotic regularity is exactly . To this end we consider a nested family of optimal transport problems that provide a recursive bound for the distance between the iterates. We show that these bounds are tight by building a nonexpansive map T: [0, 1](N) -> [0, 1](N) that attains them with equality, settling a conjecture by Baillon and Bruck. The recursive bounds are in turn reinterpreted as absorption probabilities for an underlying Markov chain which is used to establish the tightness of the constant 1/root pi.
Address [Bravo, Mario] Univ Santiago Chile, Dept Matemat & Ciencia Computac, Alameda Libertador Bernardo Ohiggins 3363, Santiago, Chile, Email: mario.bravo.g@usach.cl;
Corporate Author Thesis
Publisher Hebrew Univ Magnes Press Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0021-2172 ISBN Medium
Area Expedition Conference
Notes WOS:000442512900006 Approved
Call Number UAI @ eduardo.moreno @ Serial 909
Permanent link to this record