An embedding relation for bounded mean oscillation on rectangles

Benoît F. Sehba. "An embedding relation for bounded mean oscillation on rectangles." Annales Polonici Mathematici 112.3 (2014): 287-299. <http://eudml.org/doc/286430>.

@article{BenoîtF2014,
abstract = {In the two-parameter setting, we say a function belongs to the mean little BMO 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 present author in relation to the multiplier algebra of the product BMO of Chang-Fefferman. We prove that the Cotlar-Sadosky space $bmo(^\{N\})$ of functions of bounded mean oscillation is a strict subspace of the mean little BMO.},
author = {Benoît F. Sehba},
journal = {Annales Polonici Mathematici},
keywords = {bounded mean oscillation; logarithmic mean oscillation; product domains},
language = {eng},
number = {3},
pages = {287-299},
title = {An embedding relation for bounded mean oscillation on rectangles},
url = {http://eudml.org/doc/286430},
volume = {112},
year = {2014},
}

TY - JOUR
AU - Benoît F. Sehba
TI - An embedding relation for bounded mean oscillation on rectangles
JO - Annales Polonici Mathematici
PY - 2014
VL - 112
IS - 3
SP - 287
EP - 299
AB - In the two-parameter setting, we say a function belongs to the mean little BMO 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 present author in relation to the multiplier algebra of the product BMO of Chang-Fefferman. We prove that the Cotlar-Sadosky space $bmo(^{N})$ of functions of bounded mean oscillation is a strict subspace of the mean little BMO.
LA - eng
KW - bounded mean oscillation; logarithmic mean oscillation; product domains
UR - http://eudml.org/doc/286430
ER -