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Besov regularity for the generalized local time of the indefinite Skorohod integral
Liang, Zongxia
2010-05-06 ; 2010-05-06
关键词Besov spaces generalized local times Malliavin calculus Skorohod integral lto-Skorohod integral OCCUPATION DENSITIES SPACE Statistics & Probability
中文摘要Let X-t = integral(t)(0) u(s) dW(s) (t epsilon [0, 1]) be the indefinite Skorohod integral on the canonical probability space (Omega, F, P), and let L-t (x) (t epsilon [0, 1], x epsilon R) be its the generalized local time introduced by Tudor in [C.A. Tudor, Martingale-type stochastic calculus for anticipating integral processes, Bernoulli 10 (2004) 313-325]. We prove that the generalized local time, as function of x, has the same Besov regularity as the Brownian motion, as function of t, under some conditions imposed on the anticipating integrand u. (c) 2006 Elsevier Masson SAS. All rights reserved.
语种英语 ; 英语
出版者GAUTHIER-VILLARS/EDITIONS ELSEVIER ; PARIS ; 23 RUE LINOIS, 75015 PARIS, FRANCE
内容类型期刊论文
源URL[http://hdl.handle.net/123456789/13894]  
专题清华大学
推荐引用方式
GB/T 7714
Liang, Zongxia. Besov regularity for the generalized local time of the indefinite Skorohod integral[J],2010, 2010.
APA Liang, Zongxia.(2010).Besov regularity for the generalized local time of the indefinite Skorohod integral..
MLA Liang, Zongxia."Besov regularity for the generalized local time of the indefinite Skorohod integral".(2010).
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