A maximal inequality for stochastic convolutions in 2-smooth Banach spaces

Details A maximal inequality for stochastic convolutions in 2-smooth Banach spaces A maximal inequality for stochastic convolutions in 2-smooth Banach spaces

2011-05-24

arxiv.org/abs/1105.4720v2

Mathematics

Probability

Minor revisions and example added. Accepted for publication in Electron. Commun. Probab

Scientific paper

Let (e^{tA})_{t \geq 0} be a C_0-contraction semigroup on a 2-smooth Banach space E, let (W_t)_{t \geq 0} be a cylindrical Brownian motion in a Hilbert space H, and let (g_t)_{t \geq 0} be a progressively measurable process with values in the space \gamma(H,E) of all \gamma-radonifying operators from H to E. We prove that for all 0

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