Extremal sequences for the Bellman function of the dyadic maximal operator and applications to the Hardy operator
Functional Analysis
2019-10-15 v4
Abstract
We prove that the extremal sequences for the Bellman function of the dyadic maximal operator behave approximately as eigenfunctions of this operator for a specific eigenvalue. We use this result to prove the analogous one with respect to the Hardy operator.
Cite
@article{arxiv.1305.2522,
title = {Extremal sequences for the Bellman function of the dyadic maximal operator and applications to the Hardy operator},
author = {Eleftherios Nikolidakis},
journal= {arXiv preprint arXiv:1305.2522},
year = {2019}
}
Comments
Published in the Canadian J. Math. An argument has been corrected in the end of the proof of Theorem 3. The results remain unchanged