Two-weight estimates for the square function and $t$-Haar multipliers
Classical Analysis and ODEs
2025-01-28 v1
Abstract
We present necessary and sufficient conditions on triples of weights for the boundedness of the dyadic weighted square function from into . We use this characterization to obtain necessary and sufficient conditions for the boundedness of the -Haar multipliers from into in terms of boundedness of the dyadic weighted square function.
Cite
@article{arxiv.2501.16272,
title = {Two-weight estimates for the square function and $t$-Haar multipliers},
author = {Daewon Chung and Jean Carlo Moraes and María Cristina Pereyra and Brett Wick},
journal= {arXiv preprint arXiv:2501.16272},
year = {2025}
}