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Contents of PMS, Vol. 13, Fasc. 2,
pages 277 - 292
 

MALLIAVIN CALCULUS FOR STABLE PROCESSES ON HEISENBERG GROUP

Tomasz Byczkowski
Piotr Graczyk

Abstract: Smoothness of symmetric stable semigroups and some related semigroups of measures on the Heisenberg group is studied using Malliavin calculus for jump processes. If the Lévy measure of a symmetric stable semigroup is Cm, then the semigroup is C2m -4. If the Lévy measure of a truncated stable semigroup is C1, then the semigroup is C oo .

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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