Quantitative John--Nirenberg inequality for stochastic processes of bounded mean oscillation
Probability
2022-11-15 v2
Abstract
Stroock and Varadhan in 1997 and Geiss in 2005 independently introduced stochastic processes with bounded mean oscillation (BMO) and established their exponential integrability with some unspecified exponential constant. This result is an analogue of the John--Nirenberg inequality for functions of bounded mean oscillation. In this work, we quantify the size of the exponential constant by the modulus of mean oscillation. Some new applications of BMO processes in rough stochastic differential equations, numerical approximations and regularization by noise are discussed.
Keywords
Cite
@article{arxiv.2210.15736,
title = {Quantitative John--Nirenberg inequality for stochastic processes of bounded mean oscillation},
author = {Khoa Lê},
journal= {arXiv preprint arXiv:2210.15736},
year = {2022}
}
Comments
update on historical contributions