On the Generalized Harmonic Measure

Fuente: arXiv
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Hauptverfasser: Liu, Duchao, Wang, Yunjie, Li, Qiuli
Format: Preprint
Veröffentlicht: 2024
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_version_ 1866908422050414592
author Liu, Duchao
Wang, Yunjie
Li, Qiuli
author_facet Liu, Duchao
Wang, Yunjie
Li, Qiuli
contents The axiomatization of harmonic measure theory is established, including the generalized maximum principle, Harnack inequality and Harnack principle. As the applications of the established theory, Dahlberg's theory is generalized. The theory provides an interpretation from the measure theory view point of the elliptic equation theory.
format Preprint
id arxiv_https___arxiv_org_abs_2408_09890
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the Generalized Harmonic Measure
Liu, Duchao
Wang, Yunjie
Li, Qiuli
Functional Analysis
28A75, 31A15, 31C05
The axiomatization of harmonic measure theory is established, including the generalized maximum principle, Harnack inequality and Harnack principle. As the applications of the established theory, Dahlberg's theory is generalized. The theory provides an interpretation from the measure theory view point of the elliptic equation theory.
title On the Generalized Harmonic Measure
topic Functional Analysis
28A75, 31A15, 31C05
url https://arxiv.org/abs/2408.09890