Zhu, Jiahui; Brzeźniak, Zdzisław; Hausenblas, Erika Maximal inequalities for stochastic convolutions driven by compensated Poisson random measures in Banach spaces. (English. French summary) Zbl 1372.60075 Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 2, 937-956 (2017). In this paper, the maximal inequalities for stochastic convolutions driven by compensated Poisson random measures in some separable Banach spaces are proved using the properties of the stochastic integral with respect to a compensated Poisson random measure. Reviewer: Toader Morozan (Bucureşti) Cited in 9 Documents MSC: 60H05 Stochastic integrals 60G57 Random measures 60H15 Stochastic partial differential equations (aspects of stochastic analysis) 60F10 Large deviations 60J75 Jump processes (MSC2010) Keywords:stochastic convolution; martingale type \(p\) Banach space; Poisson random measure PDF BibTeX XML Cite \textit{J. Zhu} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 2, 937--956 (2017; Zbl 1372.60075) Full Text: DOI Euclid