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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 42 Issue: 3

Operator Valued Dirichlet Problem in the Plane

Nihat Gökhan Göğüş
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Publication Date
2013-03-01
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

We introduce a class of operator valued subharmonic mappingsand establish some of their elementary properties.

📌 3 Key Takeaways

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Objective & Hypothesis:We consider an operator valued Dirichlet problem for harmonic mappings and prove the existence of a Perron-like solution.
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Key Findings & Data:To formulatethe Perron’s construction we make use of Olson’s notion of spectralorder.
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Conclusion & Impact:We introduce a class of operator valued subharmonic mappingsand establish some of their elementary properties.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:Operator theory · Harmonic mappings · Perron method

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.

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Cite This Article

Göğüş, N. G. (2013). Operator Valued Dirichlet Problem in the Plane. Hacettepe Journal of Mathematics and Statistics, Volume: 42 Issue: 3. https://ajindex.com/articles/1403476

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