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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Official URL: http://www.mat.hacettepe.edu.tr/hjms/english/issues/vol42-3/full-text/gogus.pdf

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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Operator valued Dirichlet problem in the plane. (deposited 20 Oct 2012 16:52)
- Operator valued Dirichlet problem in the plane. (deposited 17 Jan 2014 21:16) [Currently Displayed]

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