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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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math.FA2011

Properties of extremal sequences for the Bellman function of the dyadic maximal operator

Eleftherios Nikolidakis

We prove a necessary condition that has every extremal sequence for the Bellman function of the dyadic maximal operator.This implies the weak-Lp uniqueness for such a sequence.

math.FA2011

The Geometry of the Dyadic Maximal Operator

Eleftherios Nikolidakis

We prove a sharp integral inequality which connects the dyadic maximal operator with the Hardy operator. We also give some applications of this inequality.