Abstract
The purpose of the paper is to study the behavior of the classes of functions of bounded lower oscillation under the change of measure given by the weight $w$. More specifically, we provide sharp upper and lower bounds for the norm of the inclusion $BLO\hookrightarrow BLO(w)$ in terms of $A_\infty$ constant of the weight. The results hold in the general context of probability spaces equipped with a treelike structure.
Citation
Adam Osękowski. "$BLO$ class under the change of measure." Tohoku Math. J. (2) 75 (2) 161 - 173, 2023. https://doi.org/10.2748/tmj.20211208
Information
