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A note on maximal inequality for stochastic convolutions

Erika Hausenblas; Jan Seidler — 2001

Czechoslovak Mathematical Journal

Using unitary dilations we give a very simple proof of the maximal inequality for a stochastic convolution $\int_{0}^{t} S (t - s) ψ (s) d W (s)$ driven by a Wiener process $W$ in a Hilbert space in the case when the semigroup $S (t)$ is of contraction type.

Existence, uniqueness and regularity of parabolic SPDEs driven by Poisson random measure.

Hausenblas, Erika — 2005

Electronic Journal of Probability [electronic only]

Page 1

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