Ji Li

collaborators

4 papers

math.FA2024

Spectral asymptotic formula of Bessel--Riesz commutator

Zhijie Fan, Ji Li, Fedor Sukochev +1

Let $R_{λ, j}$ be the $j$ -th Bessel--Riesz transform, where $n \geq 1$ , $λ > 0$ , and $j = 1, \dots, n + 1$ . In this article, we establish a Weyl type asymptotic for $[M_{f}, R_{λ, j}]$ , the com…

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…

math.FA2024

Schatten--Lorentz characterization of Riesz transform commutator associated with Bessel operators

Zhijie Fan, Michael Lacey, Ji Li +1

Let $Δ_{λ}$ be the Bessel operator on the upper half space $R_{+}^{n + 1}$ with $n \geq 0$ and $λ > 0$ , and $R_{λ, j}$ be the $j -$ th Bessel Riesz transform, $j = 1, \dots, n + 1$ . We dem…