dc.contributor.author |
Barański, Krzysztof |
dc.contributor.author |
Fagella Rabionet, Núria |
dc.contributor.author |
Jarque i Ribera, Xavier |
dc.contributor.author |
Karpinska, Boguslawa |
dc.date |
2014 |
dc.identifier |
https://ddd.uab.cat/record/150689 |
dc.identifier |
urn:10.1112/jlms/jdv016 |
dc.identifier |
urn:oai:ddd.uab.cat:150689 |
dc.identifier |
urn:gsduab:3717 |
dc.identifier |
urn:scopus_id:84939620544 |
dc.identifier |
urn:wos_id:000363198300008 |
dc.identifier |
urn:altmetric_id:2081132 |
dc.identifier |
urn:articleid:14697750v92n1p144 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-792 |
dc.relation |
Ministerio de Ciencia e Innovación MTM2011-26995-C02-01 |
dc.relation |
Journal of the London Mathematical Society ; Vol. 92 Núm. 1 (2014), p. 144-162 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.subject |
Baker domain |
dc.subject |
Hyperbolic domain |
dc.subject |
Hyperbolic measure |
dc.title |
Absorbing sets and Baker domains for holomorphic maps |
dc.type |
Article |
dc.description.abstract |
Agraïments: Supported by Polish NCN grant decision DEC-2012/06/M/ST1/00168 |
dc.description.abstract |
We consider holomorphic maps f: U U for a hyperbolic domain U in the complex plane, such that the iterates of f converge to a boundary point of U. By a previous result of the authors, for such maps there exist nice absorbing domains W U. In this paper we show that W can be chosen to be simply connected, if f has parabolic~I type in the sense of the Baker--Pommerenke--Cowen classification of its lift by a universal covering (and is not an isolated boundary point of U). Moreover, we provide counterexamples for other types of the map f and give an exact characterization of parabolic~I type in terms of the dynamical behaviour of f. |