Translator Disclaimer
March 2014 Uniqueness of L1 harmonic functions on rotationally symmetric Riemannian manifolds
Minoru Murata, Tetsuo Tsuchida
Kodai Math. J. 37(1): 1-15 (March 2014). DOI: 10.2996/kmj/1396008245

Abstract

We show that any rotationally symmetric Riemannian manifold has the L1-Liouville property for harmonic functions, i.e., any integrable harmonic function on it must be identically constant. We also give a characterization of a manifold which carries a non-constant L1 nonnegative subharmonic function.

Citation

Download Citation

Minoru Murata. Tetsuo Tsuchida. "Uniqueness of L1 harmonic functions on rotationally symmetric Riemannian manifolds." Kodai Math. J. 37 (1) 1 - 15, March 2014. https://doi.org/10.2996/kmj/1396008245

Information

Published: March 2014
First available in Project Euclid: 28 March 2014

zbMATH: 1305.58013
MathSciNet: MR3189511
Digital Object Identifier: 10.2996/kmj/1396008245

Rights: Copyright © 2014 Tokyo Institute of Technology, Department of Mathematics

JOURNAL ARTICLE
15 PAGES


SHARE
Vol.37 • No. 1 • March 2014
Back to Top