On a constant related to the Bellman function of three integral variables of the dyadic maximal operator: Part A

2025/01/22 by Nikolidakis, Eleftherios N.
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2501.14236

Abstract

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 of the dyadic maximal operator. More precisely we study the monotonicity properties of this constant with respect to the second variable from which it depends.

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