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math.FA2022
Besov Spaces, Schatten Classes and Weighted Versions of the Quantised Derivative
Zhenbing Gong, Ji Li, Brett D. Wick
In this paper, we establish the Schatten class and endpoint weak Schatten class estimates for the commutator of Riesz transforms on weighted spaces. It provides a weighted ve…
math.FA2022
Besov Space, Schatten Classes And Commutators Of Riesz Transforms Associated With The Neumann Laplacian
Zhijie Fan, Michael Lacey, Ji Li +2
This article provides a deeper study of the Riesz transform commutators associated with the Neumann Laplacian operator on . Along the line of singular value esti…
math.FA2022
Schatten classes and commutator in the two weight setting, I. Hilbert transform
Michael Lacey, Ji Li, Brett D. Wick
We characterize the Hilbert--Schmidt class membership of commutator with the Hilbert transform in the two weight setting. The characterization depends upon the symbol of the commut…