Boundary regular fixed points in Loewner theory

Verfasser / Beitragende:
[Filippo Bracci, Manuel Contreras, Santiago Díaz-Madrigal, Pavel Gumenyuk]
Ort, Verlag, Jahr:
2015
Enthalten in:
Annali di Matematica Pura ed Applicata (1923 -), 194/1(2015-02-01), 221-245
Format:
Artikel (online)
ID: 605495874
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024 7 0 |a 10.1007/s10231-013-0372-4  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10231-013-0372-4 
245 0 0 |a Boundary regular fixed points in Loewner theory  |h [Elektronische Daten]  |c [Filippo Bracci, Manuel Contreras, Santiago Díaz-Madrigal, Pavel Gumenyuk] 
520 3 |a We characterize regular fixed points of evolution families in terms of analytical properties of the associated Herglotz vector fields and geometrical properties of the associated Loewner chains. We present several examples showing the rôle of the given conditions. Moreover, we study the relations between evolution families and Herglotz vector fields at regular contact points and prove an embedding result for univalent self-maps of the unit disc with a given boundary regular fixed point into an evolution family with prescribed boundary data. 
540 |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 
690 7 |a Loewner chain  |2 nationallicence 
690 7 |a Evolution family  |2 nationallicence 
690 7 |a Boundary fixed point  |2 nationallicence 
690 7 |a Univalent function  |2 nationallicence 
690 7 |a Conformal mapping  |2 nationallicence 
700 1 |a Bracci  |D Filippo  |u Dipartimento di Matematica, Università di Roma "Tor Vergata”, Via della Ricerca Scientifica 1, 00133, Rome, Italy  |4 aut 
700 1 |a Contreras  |D Manuel  |u Departamento de Matemática Aplicada II and IMUS, Universidad de Sevilla, Camino de los Descubrimientos, s/n, 41092, Seville, Spain  |4 aut 
700 1 |a Díaz-Madrigal  |D Santiago  |u Departamento de Matemática Aplicada II and IMUS, Universidad de Sevilla, Camino de los Descubrimientos, s/n, 41092, Seville, Spain  |4 aut 
700 1 |a Gumenyuk  |D Pavel  |u Dipartimento di Matematica, Università di Roma "Tor Vergata”, Via della Ricerca Scientifica 1, 00133, Rome, Italy  |4 aut 
773 0 |t Annali di Matematica Pura ed Applicata (1923 -)  |d Springer Berlin Heidelberg  |g 194/1(2015-02-01), 221-245  |x 0373-3114  |q 194:1<221  |1 2015  |2 194  |o 10231 
856 4 0 |u https://doi.org/10.1007/s10231-013-0372-4  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10231-013-0372-4  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Bracci  |D Filippo  |u Dipartimento di Matematica, Università di Roma "Tor Vergata”, Via della Ricerca Scientifica 1, 00133, Rome, Italy  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Contreras  |D Manuel  |u Departamento de Matemática Aplicada II and IMUS, Universidad de Sevilla, Camino de los Descubrimientos, s/n, 41092, Seville, Spain  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Díaz-Madrigal  |D Santiago  |u Departamento de Matemática Aplicada II and IMUS, Universidad de Sevilla, Camino de los Descubrimientos, s/n, 41092, Seville, Spain  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Gumenyuk  |D Pavel  |u Dipartimento di Matematica, Università di Roma "Tor Vergata”, Via della Ricerca Scientifica 1, 00133, Rome, Italy  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Annali di Matematica Pura ed Applicata (1923 -)  |d Springer Berlin Heidelberg  |g 194/1(2015-02-01), 221-245  |x 0373-3114  |q 194:1<221  |1 2015  |2 194  |o 10231