English

On the Leibniz rule for random variables

Functional Analysis 2017-05-09 v3 Probability

Abstract

We prove a Leibniz-type inequality for the spread of random variables in terms of their LpL_p-norms. The result is motivated by the Kato-Ponce inequalities and Rieffel's strong Leibniz property.

Keywords

Cite

@article{arxiv.1611.00963,
  title  = {On the Leibniz rule for random variables},
  author = {Zoltan Leka},
  journal= {arXiv preprint arXiv:1611.00963},
  year   = {2017}
}

Comments

few corrections have been made, Introduction is rewritten

R2 v1 2026-06-22T16:40:47.143Z