Sharp mutliplicative inequalities with $\mathrm{BMO}$ $\mathrm{I}$
Classical Analysis and ODEs
2020-01-28 v1
Abstract
We find the best possible constant in the inequality , where and . We employ the Bellman function technique to solve this problem in the case of an interval and then transfer our results to the circle and the line.
Keywords
Cite
@article{arxiv.2001.09454,
title = {Sharp mutliplicative inequalities with $\mathrm{BMO}$ $\mathrm{I}$},
author = {Dmitriy Stolyarov and Vasily Vasyunin and Pavel Zatitskiy},
journal= {arXiv preprint arXiv:2001.09454},
year = {2020}
}
Comments
17 pages