- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:44
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
21
2005
3
Fractional iteration in the disk algebra: prime ends and composition operators
Manuel
Contreras
Universidad de Sevilla, SEVILLA, SPAIN
Santiago
Díaz-Madrigal
Universidad de Sevilla, SEVILLA, SPAIN
Semigroups, disk algebra, prime end, starlike functions, spirallike functions
In this paper we characterize the semigroups of analytic functions in the unit disk which lead to semigroups of operators in the disk algebra. These characterizations involve analytic as well as geometric aspects of the iterates and they are strongly related to the classical theorem of Carath\'eodory about local connection and boundary behaviour of univalent functions.
Functions of a complex variable
Operator theory
General topology
General
911
928
10.4171/RMI/440
http://www.ems-ph.org/doi/10.4171/RMI/440