Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 2, Pages 17–22 (Mi vmumm217)  
Mathematics

Weighted $L^p$, $p\ge2$, for a wiener process: Exact asymptoties of small deviations

V. R. Fatalov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: Results concerning exact asymptotics for small deviation probabilities of a Wiener process in $L^p$-norm with a weight $p\ge2$ and for $L^p$-norms of trajectories of some stochastic integrals are proved in the paper.
Key words: small deviations, Wiener process, stochastic integral.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00050
Received: 30.10.2013
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 2, Pages 68–73
DOI: https://doi.org/10.3103/S0027132215020035
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. R. Fatalov, “Weighted $L^p$, $p\ge2$, for a wiener process: Exact asymptoties of small deviations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 2, 17–22; Moscow University Mathematics Bulletin, 70:2 (2015), 68–73
Citation in format AMSBIB
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