An embedding relation for bounded mean oscillation on rectangles
Classical Analysis and ODEs
2017-11-16 v5 Complex Variables
Abstract
In the two-parameter setting, we say a function belongs to the mean little , if its mean over any interval and with respect to any of the two variables has uniformly bounded mean oscillation. This space has been recently introduced by S. Pott and the author in relation with the multiplier algebra of the product of Chang-Fefferman. We prove that the Cotlar-Sadosky space of functions of bounded mean oscillation is a strict subspace of the mean little .
Cite
@article{arxiv.1703.00851,
title = {An embedding relation for bounded mean oscillation on rectangles},
author = {Benoît F. Sehba},
journal= {arXiv preprint arXiv:1703.00851},
year = {2017}
}
Comments
Published