English

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

Classical Analysis and ODEs 2025-01-27 v1 Functional Analysis

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.

Keywords

Cite

@article{arxiv.2501.14236,
  title  = {On a constant related to the Bellman function of three integral variables of the dyadic maximal operator: Part A},
  author = {Eleftherios N. Nikolidakis},
  journal= {arXiv preprint arXiv:2501.14236},
  year   = {2025}
}

Comments

A different title has been provided. arXiv admin note: substantial text overlap with arXiv:2312.05498, arXiv:2401.14821, arXiv:1905.08091, arXiv:2501.14235