caa a22 4500 605495874 CHVBK 20210128100533.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s10231-013-0372-4 doi (NATIONALLICENCE)springer-10.1007/s10231-013-0372-4 Boundary regular fixed points in Loewner theory [Elektronische Daten] [Filippo Bracci, Manuel Contreras, Santiago Díaz-Madrigal, Pavel Gumenyuk] 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. Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 Loewner chain nationallicence Evolution family nationallicence Boundary fixed point nationallicence Univalent function nationallicence Conformal mapping nationallicence Bracci Filippo Dipartimento di Matematica, Università di Roma "Tor Vergata”, Via della Ricerca Scientifica 1, 00133, Rome, Italy aut Contreras Manuel Departamento de Matemática Aplicada II and IMUS, Universidad de Sevilla, Camino de los Descubrimientos, s/n, 41092, Seville, Spain aut Díaz-Madrigal Santiago Departamento de Matemática Aplicada II and IMUS, Universidad de Sevilla, Camino de los Descubrimientos, s/n, 41092, Seville, Spain aut Gumenyuk Pavel Dipartimento di Matematica, Università di Roma "Tor Vergata”, Via della Ricerca Scientifica 1, 00133, Rome, Italy aut Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/1(2015-02-01), 221-245 0373-3114 194:1<221 2015 194 10231 https://doi.org/10.1007/s10231-013-0372-4 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10231-013-0372-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bracci Filippo Dipartimento di Matematica, Università di Roma "Tor Vergata”, Via della Ricerca Scientifica 1, 00133, Rome, Italy aut NATIONALLICENCE 700 1- Contreras Manuel Departamento de Matemática Aplicada II and IMUS, Universidad de Sevilla, Camino de los Descubrimientos, s/n, 41092, Seville, Spain aut NATIONALLICENCE 700 1- Díaz-Madrigal Santiago Departamento de Matemática Aplicada II and IMUS, Universidad de Sevilla, Camino de los Descubrimientos, s/n, 41092, Seville, Spain aut NATIONALLICENCE 700 1- Gumenyuk Pavel Dipartimento di Matematica, Università di Roma "Tor Vergata”, Via della Ricerca Scientifica 1, 00133, Rome, Italy aut NATIONALLICENCE 773 0- Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/1(2015-02-01), 221-245 0373-3114 194:1<221 2015 194 10231