29 citations · 46 across the 10 of their papers we have counts for
6 papers · 1 filter
Schatten classes and commutators in the two weight setting, II. Riesz transforms
Michael Lacey, Ji Li, Brett D. Wick +1
We characterize the Schatten class of the commutator of Riesz transforms in () in the two weight setting for , by introduc…
Compactness of the Bloom sparse operators and applications
Peng Chen, Michael Lacey, Ji Li +1
We establish the characterization of compactness for the sparse operator (associated with symbol in weighted VMO space) in the two weight setting on the spaces of homogeneous type…
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…
Multi-Parameter Div-Curl Lemmas
Michael T. Lacey, Stefanie Petermichl, Jill C. Pipher +1
We study the possible analogous of the Div-Curl Lemma in classical harmonic analysis and partial differential equations, but from the point of view of the multi-parameter setting.…
Composition of Haar Paraproducts: The Random Case
Dmitriy Bilyk, Michael Lacey, Xiaochun Li +1
When is the composition of paraproducts bounded? This is an important, and difficult question, related to to a question of Sarason on composition of Hankel matrices, and the two-we…
Multiparameter Riesz Commutators
Michael Lacey, Stefanie Petermichl, Jill Pipher +1
It is shown that product BMO of Chang and Fefferman, defined on the product of Euclidean spaces can be characterized by the multiparameter commutators of Riesz transforms. This ext…