Multilinear dyadic operators and their commutators in the weighted setting
Ishwari Kunwar
TL;DR
This paper studies the boundedness of multilinear dyadic operators, such as paraproducts and Haar multipliers, in weighted function spaces, and explores their commutators with dyadic BMO functions.
Contribution
It provides new weighted boundedness results for multilinear dyadic operators and their commutators, extending existing theory in harmonic analysis.
Findings
Weighted estimates for multilinear Haar multipliers
Boundedness of multilinear dyadic paraproducts in weighted spaces
Commutator bounds with dyadic BMO functions
Abstract
In this article, we investigate the boundedness properties of the multilinear dyadic paraproduct operators in the weighted setting. We also obtain weighted estimates for the multilinear Haar multipliers and their commutators with dyadic BMO functions.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Holomorphic and Operator Theory · Differential Equations and Boundary Problems