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.
Operator theory Harmonic mappings Perron method Spectral order.
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Birincil Dil | Türkçe |
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Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Mart 2013 |
Yayımlandığı Sayı | Yıl 2013 Cilt: 42 Sayı: 3 |