Weighted Weak Type Estimates for Square Functions
Classical Analysis and ODEs
2012-11-20 v1
Abstract
We consider the weak-type inequality for Littlewood-Paley square functions on A_p weighted Lebesgue spaces. Of interest is the sharp in the A_p characteristic estimate. The case of 1<p<2 is subcritical, and the sharp power of 1/p is established. In the critical case of p=2, we miss the critical exponent 1/2 by a logarithm of the A_p characteristic. These estimates improve on known estimates for 1<p<3.
Cite
@article{arxiv.1211.4219,
title = {Weighted Weak Type Estimates for Square Functions},
author = {Michael T Lacey and James Scurry},
journal= {arXiv preprint arXiv:1211.4219},
year = {2012}
}
Comments
8 pages