Operator Valued Dirichlet Problem in the Plane

Year 2013, Volume: 42 Issue: 3, 269 - 280, 01.03.2013

Nihat Gökhan Göğüş

Abstract

We consider an operator valued Dirichlet problem for harmonic mappings and prove the existence of a Perron-like solution. To formulatethe Perron’s construction we make use of Olson’s notion of spectralorder. We introduce a class of operator valued subharmonic mappingsand establish some of their elementary properties.

Keywords

Operator theory , Harmonic mappings , Perron method , Spectral order.

Operator Valued Dirichlet Problem in the Plane

Abstract

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Keywords

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References

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