A. Mair

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math.CA2024

$L^{p}$ -to- $L^{q}$ boundedness for commutators of the Cauchy transform

Adam Mair

In this paper we prove a characterization of the $L^{p}$ -to- $L^{q}$ boundedness of commutators to the Cauchy transform. Our work presents both new results and new proofs for establishe…

math.CA2022

Bump conditions for general iterated commutators with applications to compactness

Adam Mair, Kabe Moen, Yongming Wen

We prove new sufficient bump conditions for general iterated commutators of Calderón-Zygmund operators and fractional integral operators. As an application of our results we derive…

Lp-to-Lq boundedness for commutators of the Cauchy transform

Bump conditions for general iterated commutators with applications to compactness

$L^{p}$ -to- $L^{q}$ boundedness for commutators of the Cauchy transform