Operator valued Dirichlet problem in the plane

Göğüş, Nihat Gökhan (2013) Operator valued Dirichlet problem in the plane. Hacettepe Journal of Mathematics and Statistics, 42 (3). pp. 269-280. ISSN 1303-5010

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Abstract

We consider an operator valued Dirichlet problem for harmonic mappings and prove the existence of a Perron-like solution. To formulate the Perron’s construction we make use of Olson’s notion of spectral order. We introduce a class of operator valued subharmonic mappings and establish some of their elementary properties.
Item Type: Article
Uncontrolled Keywords: Operator theory; Harmonic mappings; Perron method; Spectral order
Subjects: Q Science > QA Mathematics > QA299.6-433 Analysis
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Nihat Gökhan Göğüş
Date Deposited: 17 Jan 2014 21:16
Last Modified: 26 Apr 2022 09:07
URI: https://research.sabanciuniv.edu/id/eprint/22355

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