| Records |
| Author |
Chuaqui, M.; Hamada, H.; Hernandez, R.; Kohr, G. |
| Title |
Pluriharmonic mappings and linearly connected domains in C-n |
Type |
|
Year  |
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 |
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Thesis |
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| Publisher |
Hebrew Univ Magnes Press |
Place of Publication |
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Editor |
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| Language |
English |
Summary Language |
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Original Title |
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| Series Editor |
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Series Title |
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Abbreviated Series Title |
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| Series Volume |
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Series Issue |
|
Edition |
|
| ISSN |
0021-2172 |
ISBN |
|
Medium |
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| Area |
|
Expedition |
|
Conference |
|
| Notes |
WOS:000338204700022 |
Approved |
|
| Call Number |
UAI @ eduardo.moreno @ |
Serial |
389 |
| Permanent link to this record |
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| Author |
Bravo, M.; Cominetti, R. |
| Title |
Sharp convergence rates for averaged nonexpansive maps |
Type |
|
| Year |
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 |
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| Series Editor |
|
Series Title |
|
Abbreviated Series Title |
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| 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 |
