On $A_p$-$A_\infty$ type estimates for square functions
Classical Analysis and ODEs
2016-11-04 v4
Abstract
We prove strong-type - estimate for square functions, improving on the bound due to Lerner. Entropy bounds, in the recent innovation of Treil-Volberg, are then proved. The techniques of proof include parallel stopping cubes, pigeon-hole arguments, and the approach to entropy bounds of Lacey--Spencer.
Cite
@article{arxiv.1505.00195,
title = {On $A_p$-$A_\infty$ type estimates for square functions},
author = {Michael T. Lacey and Kangwei Li},
journal= {arXiv preprint arXiv:1505.00195},
year = {2016}
}
Comments
12 pages. Final version, to appear in Math. Z