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Harmonic functions on Riemannian manifolds with ends

✍ Scribed by S. A. Korol’kov


Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
178 KB
Volume
49
Category
Article
ISSN
0037-4466

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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