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