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Journals / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 3

Operator Valued Dirichlet Problem in the Plane

Nihat Gokhan GOGUS
Pages
269–280
Publication Date
2022-10-18
DOI
—
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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

🎯
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:Research 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

GOGUS, N. G. (2022). Operator Valued Dirichlet Problem in the Plane. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 3, 269–280. https://ajindex.com/articles/530435

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References (7)

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