Ji Li

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math.FA2025

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 $H^{n}$ with characterisations via atomic decompositions, area functions, square functions, m…

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…