Title
Weighted estimates for one-sided martingale transforms
Document Type
Article
Publication Date
1-1-2020
Abstract
Let Tf = ΣI ϵI {f, hI+}hI-. Here, |ϵI | = 1, and hJ is the Haar function defined on dyadic interval J. We show that, for instance, (Equation Presented) Above, we use the one-sided A2 characteristic for the weight w. This is an instance of a one-sided A2 conjecture. Our proof of this fact is difficult, as the very quick known proofs of the A2 theorem do not seem to apply in the one-sided setting.
Publication Source (Journal or Book title)
Proceedings of the American Mathematical Society
First Page
235
Last Page
245
Recommended Citation
Chen, W., Han, R., & Lacey, M. (2020). Weighted estimates for one-sided martingale transforms. Proceedings of the American Mathematical Society, 148 (1), 235-245. https://doi.org/10.1090/proc/14665
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