Extremizers and sharp weak-type estimates for positive dyadic shifts
Classical Analysis and ODEs
2018-11-06 v2
Abstract
We find the exact Bellman function for the weak norm of local positive dyadic shifts. We also describe a sequence of functions, self-similar in nature, which in the limit extremize the local weak-type (1,1) inequality.
Keywords
Cite
@article{arxiv.1311.2046,
title = {Extremizers and sharp weak-type estimates for positive dyadic shifts},
author = {Guillermo Rey and Alexander Reznikov},
journal= {arXiv preprint arXiv:1311.2046},
year = {2018}
}
Comments
Fixed two minor typos. To appear in Advances in Mathematics