EXPONENTIAL INTEGRABILITY FOR IMAGES OF ORNSTEIN–UHLENBECK OPERATORS ACTING ON CYLINDER FUNCTIONS ON LOOP SPACES
2002 ◽
Vol 05
(04)
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pp. 541-553
Keyword(s):
Let E be the loop space over a compact connected Riemannian manifold with a torsion skew symmetric (TSS) connection. Let L be the Ornstein–Uhlenbeck (O-U) operator on the loop space E, and f be a cylinder function on E. We first extend the expression of Lf, proved by Enchev and Stroock for the Levi–Cività connection, to a general TSS connection, and then prove that if [Formula: see text], ε |Lf|2 is exponential integrable for some constant ε := ε (f)>0.
2013 ◽
Vol 10
(10)
◽
pp. 1350059
Keyword(s):
2011 ◽
Vol 90
(1)
◽
pp. 129-144
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Keyword(s):
2018 ◽
pp. 68-81
2014 ◽
Vol 11
(05)
◽
pp. 1450041
◽
Keyword(s):
2002 ◽
Vol 34
(3)
◽
pp. 329-340
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Keyword(s):
2012 ◽
Vol 07
◽
pp. 158-164
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