|
|||||
|
|
Lipschitz Continuous and Compact Composition Operators in Hyperbolic Classes |
|
| Authors: | Fernando P��rez-Gonz��lez Jouni R?tty? Jari Taskinen |
| Institution: | 1. Departamento de An??lisis Matem??tico, Universidad de La Laguna, 38271, La Laguna, Tenerife, Spain 2. University of Joensuu, Department of Physics and Mathematics, P. O. Box 111, 80101, Joensuu, Finland 3. Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, 00014, Helsinki, Finland |
| Abstract: | Natural metrics in the hyperbolic α-Bloch-, weighted Dirichlet- and Q p -classes are introduced, and these classes are shown to be complete metric spaces with respect to the corresponding metrics. Then Lipschitz continuous and compact composition operators C φ (f) = f ◦ φ acting from the hyperbolic α-Bloch-class to the hyperbolic weighted Dirichlet- or Q p -class are characterized by conditions depending on the symbol φ only. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |