On the Generalized Harmonic Measure
Functional Analysis
2025-06-27 v6
Abstract
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.
Cite
@article{arxiv.2408.09890,
title = {On the Generalized Harmonic Measure},
author = {Duchao Liu and Yunjie Wang and Qiuli Li},
journal= {arXiv preprint arXiv:2408.09890},
year = {2025}
}
Comments
32 pages