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 |
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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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Operator valued Dirichlet problem in the plane. (deposited 20 Oct 2012 16:52)
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