@article{db3658d626f545c8bde9ee0e22286f05,
title = "The submartingale property and Liouville type theorems",
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 K{\"a}hler manifolds with some Ricci curvature condition to negatively curved Hermitian manifolds.",
keywords = "Primary 31C05, Secondary 58J65",
author = "Atsushi Atsuji",
note = "Funding Information: Partially supported by the Grant-in-Aid for Scientific Research (C) 24540192, Japan Society for the Promotion of Science. Publisher Copyright: {\textcopyright} 2016, Springer-Verlag Berlin Heidelberg.",
year = "2017",
month = sep,
day = "1",
doi = "10.1007/s00229-016-0907-2",
language = "English",
volume = "154",
pages = "129--146",
journal = "Manuscripta Mathematica",
issn = "0025-2611",
publisher = "Springer New York",
number = "1-2",
}