3 papers
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…
math.FA2021
Schatten classes and commutators of Riesz transform on Heisenberg group and applications
Zhijie Fan, Michael Lacey, Ji Li
We study commutators with the Riesz transforms on the Heisenberg group. The Schatten norm of these commutators is characterized in terms of Besov norms of the symbol. This generali…
math.CA2018
Endpoint sparse bounds for Walsh-Fourier multipliers of Marcinkiewicz type
Wei Chen, Amalia Culiuc, Francesco Di Plinio +2
We prove endpoint-type sparse bounds for Walsh-Fourier Marcinkiewicz multipliers and Littlewood-Paley square functions. These results are motivated by conjectures of Lerner in the…