3 papers
math.FA2017
Sharp and general estimates for the Bellman function of three integral variables related to the dyadic maximal operator
Anastasios D. Delis, Eleftherios N. Nikolidakis
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 who…
math.CA2016
An alternative proof of a sharp generalization of an integral inequality for the dyadic maximal operator and applications
Eleftherios N. Nikolidakis
We give an alternative proof of a sharp generalization of an integral inequality for the dyadic maximal operator due to which the evaluation of the Bellman function of this operato…
math.CA2015
Sharp integral inequalities for the dyadic maximal operator and applications
Anastasios D. Delis, Eleftherios N. Nikolidakis
We prove a sharp integral inequality for the dyadic maximal operator, connecting integrals of , and of the dyadic maximal function of .