Operator Valued Dirichlet Problem in the Plane

Yıl 2013, Cilt: 42 Sayı: 3, 269 - 280, 01.03.2013

Nihat Gökhan Göğüş

Öz

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.

Anahtar Kelimeler

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

Operator Valued Dirichlet Problem in the Plane

Öz

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Anahtar Kelimeler

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Kaynakça

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