Sharp Weighted $L^2$ inequalities for square functions
Classical Analysis and ODEs
2016-03-25 v1 Analysis of PDEs
Probability
Abstract
Using Bellman function approach, we present new proofs of weighted inequalities for square functions, with the optimal dependence on the characteristics of the weight and further explicit constants. We study the estimates both in the analytic and probabilistic context, and, as application, obtain related estimates for the classical Lusin and Littlewood-Paley square functions.
Cite
@article{arxiv.1603.07618,
title = {Sharp Weighted $L^2$ inequalities for square functions},
author = {Rodrigo Banuelos and Adam Osekowski},
journal= {arXiv preprint arXiv:1603.07618},
year = {2016}
}