Smoothness of harmonic maps for hypoelliptic diffusions
نویسندگان
چکیده
منابع مشابه
Smoothness of Harmonic Maps for Hypoelliptic Diffusions
Harmonic maps are viewed as maps sending a xed diiusion to manifold-valued martingales. Under a convexity condition, we prove that the continuity of real-valued harmonic functions implies the continuity of harmonic maps. Then we prove with a probabilistic method that continuous harmonic maps are smooth under HH ormander's condition; the proof relies on the study of martingales with values in th...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2000
ISSN: 0091-1798
DOI: 10.1214/aop/1019160255