On the Generalized Harmonic Measure

On the Generalized Harmonic Measure

The axiomatization of harmonic measure theory is established. As the applications, Dirichlet boundary problem in graph theory and Dahlberg's theory are generalized under the generalized harmonic measure theory. The theory provides an interpretation from the measure theory view point of the boun...

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Bibliographische Detailangaben
Hauptverfasser: Liu, Duchao, Wang, Yunjie, Li, Qiuli
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Functional Analysis
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Beschreibung
Zusammenfassung:The axiomatization of harmonic measure theory is established. As the applications, Dirichlet boundary problem in graph theory and Dahlberg's theory are generalized under the generalized harmonic measure theory. The theory provides an interpretation from the measure theory view point of the boundary value problem to the elliptic equation.
DOI:10.48550/arxiv.2408.09890