Zhijie Fan

collaborators

3 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.CV2024

IDA function and asymptotic behavior of singular values of Hankel operators on weighted Bergman spaces

Zhijie Fan, Xiaofeng Wang, Zhicheng Zeng

In this paper, we use the non-increasing rearrangement of $IDA$ function with respect to a suitable measure to characterize the asymptotic behavior of the singular values seq…

math.FA2023

Operator-Valued Hardy spaces and BMO Spaces on Spaces of Homogeneous Type

Zhijie Fan, Guixiang Hong, Wenhua Wang

Let $M$ be a von Neumann algebra equipped with a normal semifinite faithful trace, $(X, d, μ)$ be a space of homogeneous type in the sense of Coifman and Weiss…