5 papers
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…
The commutator of the Cauchy--SzegÅ Projection for domains in with minimal smoothness: weighted regularity
Xuan Thinh Duong, Loredana Lanzani, Ji Li +1
Let be a bounded, strongly pseudoconvex domain whose boundary satisfies the minimal regularity condition of class , and let denote the Cauchy…
Flag Hardy space theory on Heisenberg groups and applications
Peng Chen, Michael G. Cowling, Ming-Yi Lee +2
We establish a complete theory of the flag Hardy space on the Heisenberg group with characterisations via atomic decompositions, area functions, square functions, m…
Schatten Class Estimates for Paraproducts in Multi-parameter setting and applications
Michael T. Lacey, Ji Li, Brett D. Wick
Let be a bounded parameter paraproduct with symbol . We demonstrate that this operator is in the Schatten class , , if the symbol is in the pa…
Weighted Estimates of Singular Integrals and Commutators in the Zygmund Dilation Setting
Xuan Thinh Duong, Ji Li, Yumeng Ou +2
The main purpose of this paper is to establish weighted estimates for singular integrals associated with Zygmund dilations via a discrete Littlewood--Paley theory, and then apply i…