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

2025/01/22 by Eleftherios N. Nikolidakis, Nikolidakis, Eleftherios N.
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2501.14235

openalex publication_date 2025/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 first variable from which it depends.

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