Ji Li

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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.CA2024

Schatten Properties of Calderón--Zygmund Singular Integral Commutator on stratified Lie groups

Ji Li, Xiao Xiong, Fulin Yang

We provide full characterisation of the Schatten properties of $[M_{b}, T]$ , the commutator of Calderón--Zygmund singular integral $T$ with symbol $b$ $(M_{b} f (x) := b (x) f (x))$ on stratif…