Bump conditions for general iterated commutators with applications to compactness
Adam Mair, Kabe Moen, and Yongming Wen
TL;DR
This paper establishes new bump conditions for iterated commutators of Calderón-Zygmund and fractional integral operators, leading to two-weight compactness results for higher order commutators with CMO functions.
Contribution
It introduces novel bump conditions for iterated commutators and applies them to prove two-weight compactness theorems involving CMO functions.
Findings
New bump conditions for iterated commutators
Two-weight compactness theorems for higher order commutators
Applications to Calderón-Zygmund and fractional integral operators
Abstract
We prove new sufficient bump conditions for general iterated commutators of Calder\'on-Zygmund operators and fractional integral operators. As an application of our results we derive two weight compactness theorems for higher order iterated commutators with a function.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Holomorphic and Operator Theory · Nonlinear Differential Equations Analysis