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Operator valued Dirichlet problem in the plane

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
ID Code:19801
Deposited By:Nihat Gökhan Göğüş
Deposited On:20 Oct 2012 16:52
Last Modified:17 Jan 2014 21:16

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