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20102025
most citedA sharp integral rearrangement inequality for the dyadic maximal operator and applications

4 citations · 12 across the 25 of their papers we have counts for

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9 papers · 1 filter

math.CA2025

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…

math.CA2025

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…

math.CA2024

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…

math.CA2023

Sharp upper bounds for integral quantities related to the Bellman function of three variables of the dyadic maximal operator

Eleftherios Nikolidakis

We obtain sharp upper bounds for integral quantities related to the Bellman function of three integral variables of the dyadic maximal operator.

math.CA2021

An alternative approach to sharp estimates for the dyadic maximal operator

Eleftherios N. Nikolidakis, Andreas G. Tolias

We prove sharp inequalities for the dyadic maximal function when satisfies certain and conditions

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

Local lower norm estimates for dyadic maximal operators and related Bellman functions

Antonios D. Melas, Eleftherios N. Nikolidakis

We provide lower and weak -bounds for the localized dyadic maximal operator on , when the local and the local norm of the function are given. We actuall…

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 .

math.CA2014

Dyadic-BMO functions, the dyadic Gurov-Reshetnyak conditions on and rearrangements of functions

Eleftherios N. Nikolidakis

We introduce the space of dyadic bounded mean oscillation functions defined on and study the behavior of the nonincreasing rearrangement of , as an element of the…