A. Mair

activity

20222026

collaborators

4 papers

math.CA2026

Sharp weighted weak-type bounds for commutators of singular integrals

Adam Mair, Óscar Andrés Ramírez, Cody B. Stockdale

We establish sharp weak-type bounds for commutators of Calderón--Zygmund operators and $BMO (R^{n})$ symbols with respect to $A_{p}$ weights. We prove that the bound \lo…

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…

math.CA2022

Two Weight Bump Conditions for Compactness of Commutators

Adam Mair, Kabe Moen

We prove certain two weight bump conditions are sufficient for the compactness of the commutator $[b, T]$ where $b \in C M O$ and $T$ is a Calderón- Zygmund operator. This is the first…

Sharp weighted weak-type bounds for commutators of singular integrals

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

Bump conditions for general iterated commutators with applications to compactness

Two Weight Bump Conditions for Compactness of Commutators

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