Derivative formulae for heat semigroups are used to give gradient estimates for harmonic functions on regular domains in Riemannian manifolds. This probabilistic method provides an alternative to coupling techniques, as introduced by Cranston, and allows us to improve some known estimates. We discus
โฆ LIBER โฆ
Harmonic functions on complete riemannian manifolds
โ Scribed by Shing-Tung Yau
- Publisher
- John Wiley and Sons
- Year
- 1975
- Tongue
- English
- Weight
- 774 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0010-3640
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Locally symmetric K&EB manifolds may be ChOrDcterized a8 almost Hmwrian manifolds with symplectic or holomorphic local geodeaic symmetries. We extend the notion of a local geodesic symmetry and in particular, give a similar chmcterizntion of all Rrm.umiian locally s-regular manifolds with an s-struc