Weighted Lipschitz estiamtes for commutators of one-sided operators on one-sided Triebel-Lizorkin spaces
Zun Wei Fu, Qing Yan Wu, Guang Lan Wang
TL;DR
This paper proves the boundedness of certain commutators involving weighted Lipschitz functions and one-sided singular integral operators on specialized function spaces, extending previous results to one-sided Triebel-Lizorkin spaces.
Contribution
It introduces weighted Lipschitz estimates for commutators of one-sided operators on one-sided Triebel-Lizorkin spaces, using extrapolation of one-sided weights.
Findings
Boundedness of commutators on weighted Lebesgue to Triebel-Lizorkin spaces
Results for commutators of one-sided discrete square functions
Extension of boundedness results to one-sided Triebel-Lizorkin spaces
Abstract
Using the extrapolation of one-sided weights, we establish the boundedness of commutators generated by weighted Lipschitz functions and one-sided singular integral operators from weighted Lebesgue spaces to weighted one-sided Triebel-Lizorkin spaces. The corresponding results for commutators of one-sided discrete square functions are also obtained.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Banach Space Theory · Mathematical Analysis and Transform Methods