Operator valued Dirichlet problem in the plane

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Göğüş, Nihat Gökhan (2012) Operator valued Dirichlet problem in the plane. (Accepted/In Press)

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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
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:	20 Oct 2012 16:52
Last Modified:	31 Jul 2019 12:05
URI:	https://research.sabanciuniv.edu/id/eprint/19801

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

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