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Exponential integrability for images of Ornstein-Uhlenbeck operators acting on cylinder functions on loop spaces
Gong, FZ
2002-12-01
Source PublicationINFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
ISSN0219-0257
Volume5Issue:4Pages:541-553
AbstractLet 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-Civita connection, to a general TSS connection, and then prove that if f is an element of D(L), epsilon\Lf\(2) is exponential integrable for some constant epsilon := epsilon(f) > 0.
Keywordexponential integrability Ornstein-Uhlenbeck operators loop spaces
Language英语
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical ; Statistics & Probability
WOS IDWOS:000180979000005
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17436
Collection应用数学研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Gong, FZ. Exponential integrability for images of Ornstein-Uhlenbeck operators acting on cylinder functions on loop spaces[J]. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS,2002,5(4):541-553.
APA Gong, FZ.(2002).Exponential integrability for images of Ornstein-Uhlenbeck operators acting on cylinder functions on loop spaces.INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS,5(4),541-553.
MLA Gong, FZ."Exponential integrability for images of Ornstein-Uhlenbeck operators acting on cylinder functions on loop spaces".INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 5.4(2002):541-553.
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