Sharp and general estimates for the Bellman function of three integral variables related to the dyadic maximal operator
Volume 153 / 2018
Colloquium Mathematicum 153 (2018), 27-37
MSC: Primary 42B25.
DOI: 10.4064/cm7205-6-2017
Published online: 26 March 2018
Abstract
We compute the Bellman function of three integral variables associated to the dyadic maximal operator on a subset of its domain. Additionally, we provide an upper bound for the whole domain of its definition.