Parabolicity, the divergence theorem for \(\delta\)-subharmonic functions and applications to the Liouville theorems for harmonic maps
From MaRDI portal
Publication:812889
DOI10.2748/tmj/1128703002zbMath1136.31309OpenAlexW1990927541MaRDI QIDQ812889
Publication date: 26 January 2006
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.tmj/1128703002
Dirichlet forms (31C25) Diffusion processes and stochastic analysis on manifolds (58J65) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Function theory on manifolds which possess a pole
- Convergence of martingales on a Riemannian manifold
- On Dirichlet forms for plurisubharmonic functions
- Stochastic calculus in manifolds. With an appendix by P.A. Meyer
- On the closable parts of pre-Dirichlet forms and the fine supports of underlying measures
- On reflected Dirichlet spaces
- The radial part of Brownian motion. II: Its life and times on the cut locus
- Dirichlet forms and symmetric Markov processes
- On semi-martingale characterizations of functionals of symmetric Markov processes
- Crossing estimates and convergence of Dirichlet functions along random walk and diffusion paths
- A stochastic approach to a Liouville property for plurisubharmonic functions
- The manifold-valued Dirichlet problem for symmetric diffusions
- Smoothness of harmonic maps for hypoelliptic diffusions.
- Geometric measure theory.
- Probability, Convexity, and Harmonic Maps with Small Image I: Uniqueness and Fine Existence
- A note on divergence of $L^{p}$-integrals of subharmonic functions and its applications
- Harmonic maps with finite total energy
