English

Conditional G-expectation in $\mathbb{L}^{p}$ and related It\^o's calculus

Probability 2013-02-26 v1

Abstract

In this paper, we define a dynamically consistent conditional G-expectation in space Lp\mathbb{L}^{p}, and give the related stochastic calculus of It\^o's type, especially get It\^o's formula for a general C1,2C^{1,2}-function.

Cite

@article{arxiv.1302.6001,
  title  = {Conditional G-expectation in $\mathbb{L}^{p}$ and related It\^o's calculus},
  author = {Yulian Fan},
  journal= {arXiv preprint arXiv:1302.6001},
  year   = {2013}
}

Comments

arXiv admin note: text overlap with arXiv:1002.4546 by other authors

R2 v1 2026-06-21T23:31:54.980Z