Michael Lacey

collaborators

3 papers

math.CA2025

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…

math.CA2024

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 $S^{p}$ of the commutator of Riesz transforms $[b, R_{j}]$ in $R^{n}$ ( $j = 1, \dots, n$ ) in the two weight setting for $n < p < \infty$ , by introduc…

math.FA2024

Schatten Class Estimates for Paraproducts in Multi-parameter setting and applications

Michael T. Lacey, Ji Li, Brett D. Wick

Let $I^_{b}$ be a bounded $n$ parameter paraproduct with symbol $b$ . We demonstrate that this operator is in the Schatten class $S^{p}$ , $0 < p < \infty$ , if the symbol is in the $n$ pa…