Some quantitative one-sided weighted estimates
Mar\'ia Lorente, Francisco J. Mart\'in-Reyes, Israel P. Rivera-R\'ios
TL;DR
This paper presents new quantitative one-sided weighted estimates, including Lorentz space bounds for the maximal function and the effectiveness of the conjugation method for commutators in this context.
Contribution
It introduces novel quantitative estimates for one-sided maximal functions and extends the conjugation method for commutators to this setting.
Findings
Estimates for the one-sided maximal function in Lorentz spaces.
Validation that the conjugation method for commutators applies in this setting.
Abstract
In this paper we provide some quantitative one-sided estimates that recover the dependences in the classical setting. Among them we provide estimates for the one-sided maximal function in Lorentz spaces and we show that the conjugation method for commutators works as well in this setting.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Geometric Analysis and Curvature Flows · Mathematical Analysis and Transform Methods