An alternative approach to sharp $L^1$ estimates for the dyadic maximal operator

Eleftherios N. Nikolidakis; Andreas G. Tolias

An alternative approach to sharp $L^1$ estimates for the dyadic maximal operator

Classical Analysis and ODEs 2022-03-09 v2 Functional Analysis

Authors: Eleftherios N. Nikolidakis , Andreas G. Tolias

Abstract

We prove sharp $L^1$ inequalities for the dyadic maximal function $M_T\phi$ when $\phi$ satisfies certain $L^1$ and $L^{\infty}$ conditions

Keywords

maximal operators

Cite

@article{arxiv.2104.03585,
  title  = {An alternative approach to sharp $L^1$ estimates for the dyadic maximal operator},
  author = {Eleftherios N. Nikolidakis and Andreas G. Tolias},
  journal= {arXiv preprint arXiv:2104.03585},
  year   = {2022}
}