Ji Li

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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.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…