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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