The submartingale property and Liouville type theorems

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1 Citation (Scopus)

Abstract

We discuss when subharmonic functions are submartingales along Brownian motion on Riemannian manifolds. From some techniques in our discussion we can obtain L1-Liouville theorems for subharmonic functions and Liouville type theorems for holomorphic maps from Kähler manifolds with some Ricci curvature condition to negatively curved Hermitian manifolds.

Original languageEnglish
Pages (from-to)129-146
Number of pages18
JournalManuscripta Mathematica
Volume154
Issue number1-2
DOIs
Publication statusPublished - 2017 Sep 1

Keywords

  • Primary 31C05
  • Secondary 58J65

ASJC Scopus subject areas

  • Mathematics(all)

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