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Harmonicity of Quasiconformal Measures and Poisson Boundaries of Hyperbolic Spaces

✍ Scribed by Chris Connell; Roman Muchnik

Publisher
Springer
Year
2007
Tongue
English
Weight
633 KB
Volume
17
Category
Article
ISSN
1016-443X

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We prove tightness of ðr; pÞ-Sobolev capacities on configuration spaces equipped with Poisson measure. By using this result we construct surface measures on configuration spaces in the spirit of the Malliavin calculus. A related Gauss-Ostrogradskii formula is obtained.