Maximal type inequalities for linear stochastic Volterra equations

Details Maximal type inequalities for linear stochastic Volterra equations Maximal type inequalities for linear stochastic Volterra equations

2004-12-26

arxiv.org/abs/math/0412496v3

International Journal of Pure and Applied Mathematics, Vol. 24, No.1 (2005) 111-121

Mathematics

Probability

9 pages, shortened and improved version, Journal ref. added

Scientific paper

The note is devoted to estimates for convolutions appearing in some class of
stochastic Volterra equations. Two maximal inequalities and exponential tail
estimate are proved by the fractional method of infinite dimensional stochastic
calculus. The paper extends on non-semigroup case some results obtained earlier
for semigroups.

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