English

Sharp and general estimates for the Bellman function of three integral variables related to the dyadic maximal operator

Functional Analysis 2017-02-07 v1

Abstract

We compute the Bellman function of three integral variables associated to the dyadic maximal operator on a subset of its domain. Additionally, we provide an upper bound for the whole domain of its definition.

Keywords

Cite

@article{arxiv.1702.01419,
  title  = {Sharp and general estimates for the Bellman function of three integral variables related to the dyadic maximal operator},
  author = {Anastasios D. Delis and Eleftherios N. Nikolidakis},
  journal= {arXiv preprint arXiv:1702.01419},
  year   = {2017}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1502.06002