English

On maximal inequalities for purely discontinuous martingales in infinite dimensions

Probability 2013-08-13 v1

Abstract

The purpose of this paper is to give a survey of a class of maximal inequalities for purely discontinuous martingales, as well as for stochastic integral and convolutions with respect to Poisson measures, in infinite dimensional spaces. Such maximal inequalities are important in the study of stochastic partial differential equations with noise of jump type.

Keywords

Cite

@article{arxiv.1308.2648,
  title  = {On maximal inequalities for purely discontinuous martingales in infinite dimensions},
  author = {Carlo Marinelli and Michael Röckner},
  journal= {arXiv preprint arXiv:1308.2648},
  year   = {2013}
}

Comments

19 pages, no figures