Stochastic integrals and BDG's inequalities in Orlicz-type spaces

Yingchao Xie; Xicheng Zhang

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arXiv · 1606.04350

Stochastic integrals and BDG's inequalities in Orlicz-type spaces

Yingchao Xie·Xicheng Zhang

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Abstract

In this paper we extend an inequality of Lenglart, L\'epingle and Pratelli \cite[Lemma 1.1]{LLP} to general continuous adapted stochastic processes with values in topology spaces. By this inequality we show Burkholder-Davies-Gundy's inequality for stochastic integrals in Orlicz-type spaces (a class of quasi-Banach spaces) with respect to cylindrical Brownian motions.

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Yingchao Xie, Xicheng Zhang. 2016-06-14. Stochastic integrals and BDG's inequalities in Orlicz-type spaces. https://arxiv.org/abs/1606.04350

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