English

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

Functional Analysis 2011-09-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1109.4924,
  title  = {Properties of extremal sequences for the Bellman function of the dyadic maximal operator},
  author = {Eleftherios Nikolidakis},
  journal= {arXiv preprint arXiv:1109.4924},
  year   = {2011}
}

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11 pages