## Operator valued Dirichlet problem in the plane
Göğüş, Nihat Gökhan (2013)
Official URL: http://www.mat.hacettepe.edu.tr/hjms/english/issues/vol42-3/full-text/gogus.pdf ## AbstractWe 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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