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• W2000470657 abstract "Motivated by the study of existence, uniqueness and regularity of solutions to stochastic partial differential equations driven by jump noise, we prove It^{o} isomorphisms for $L^p$-valued stochastic integrals with respect to a compensated Poisson random measure. The principal ingredients for the proof are novel Rosenthal type inequalities for independent random variables taking values in a (noncommutative) $L^p$-space, which may be of independent interest. As a by-product of our proof, we observe some moment estimates for the operator norm of a sum of independent random matrices." @default.
• W2000470657 created "2016-06-24" @default.
• W2000470657 creator A5009463062 @default.
• W2000470657 date "2014-11-01" @default.
• W2000470657 modified "2023-10-16" @default.
• W2000470657 title "Itô isomorphisms for $L^{p}$-valued Poisson stochastic integrals" @default.
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• W2000470657 doi "https://doi.org/10.1214/13-aop906" @default.
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