5 papers
A multiparameter integral inequality for the dyadic maximal operator and applications
Eleftherios N. Nikolidakis
We prove a sharp multiparameter integral inequality for the dyadic maximal operator which refines the one-parameter inequality that is given by A.Melas in [4] which in turn is appl…
A note on the Muckenhoupt class
Eleftherios N. Nikolidakis, Andreas G. Tolias
We provide a direct proof of the best possible reverse Holder inequality satisfied by every weight defined on the interval with A1-constant equal to c > 1.
On a constant related to the Bellman function of three integral variables of the dyadic maximal operator: Part A
Eleftherios N. Nikolidakis
We study the behaviour of the constant that is provided in the articles [12] and [13], which is connected with the determination of the Bellman function of three integral variables…
On a constant related to the Bellman function of three integral variables of the dyadic maximal operator: Part B
Eleftherios N. Nikolidakis
We study the behaviour of the constant that is provided in the articles [12] and [13], which is connected with the determination of the Bellman function of three integral variables…
On a sharp upper bound related to the Bellman function of three integral variables of the dyadic maximal operator
Eleftherios N. Nikolidakis
We study properties for the sharp upper bound for integral quantities related to the Bellman function of three integral variables of the dyadic maximal operator, that is determined…