The John--Nirenberg constant of ${\rm BMO}^p$, $p>2$
Classical Analysis and ODEs
2016-01-18 v1
Abstract
This paper is a continuation of earlier work by the first author who determined the John--Nirenberg constant of for the range Here, we compute that constant for As before, the main results rely on Bellman functions for the norms of logarithms of weights, but for these functions turn out to have a significantly more complicated structure than for
Cite
@article{arxiv.1601.03848,
title = {The John--Nirenberg constant of ${\rm BMO}^p$, $p>2$},
author = {Leonid Slavin and Vasily Vasyunin},
journal= {arXiv preprint arXiv:1601.03848},
year = {2016}
}
Comments
16 pages, 3 figures. To appear in St. Petersburg Math Journal