Operator Valued Dirichlet Problem in the Plane

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

Anahtar Kelimeler:

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Operator Valued Dirichlet Problem in the Plane

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.,

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