English

Equicontinuity of harmonic functions and compactness of potential kernels

Analysis of PDEs 2019-05-01 v2

Abstract

Within the framework of balayage spaces (the analytical equivalent of nice Hunt processes), we prove equicontinuity of bounded families of harmonic functions and apply it to obtain criteria for compactness of potential kernels.

Keywords

Cite

@article{arxiv.1904.12726,
  title  = {Equicontinuity of harmonic functions and compactness of potential kernels},
  author = {Wolfhard Hansen},
  journal= {arXiv preprint arXiv:1904.12726},
  year   = {2019}
}