- Hacettepe Journal of Mathematics and Statistics
- Vol: 42 Issue: 3
- Operator Valued Dirichlet Problem in the Plane
Operator Valued Dirichlet Problem in the Plane
Authors : Nihat Gökhan Göğüş
Pages : 269-280
View : 14 | Download : 7
Publication Date : 2013-03-01
Article Type : Other
Abstract :We consider an operator valued Dirichlet problem for harmonic mappings and prove the existence of a Perron-like solution. To formulatethe Perron’s construction we make use of Olson’s notion of spectralorder. We introduce a class of operator valued subharmonic mappingsand establish some of their elementary properties.Keywords : Operator theory, Harmonic mappings, Perron method, Spectral order.