The matrix-weighted dyadic convex body maximal operator is not bounded
Functional Analysis
2022-01-26 v1 Classical Analysis and ODEs
Abstract
The convex body maximal operator is a natural generalisation of the Hardy Littlewood maximal operator. In the presence of a matrix weight it is not bounded.
Keywords
Cite
@article{arxiv.2201.10337,
title = {The matrix-weighted dyadic convex body maximal operator is not bounded},
author = {F. Nazarov and S. Petermichl and K. A. Škreb and S. Treil},
journal= {arXiv preprint arXiv:2201.10337},
year = {2022}
}