Zhijie Fan

collaborators

3 papers

math.FA2025

Absolutely summing Hankel operators on Bergman spaces

Zhijie Fan, Bo He, Xiaofeng Wang +1

In this paper we initiate the study of absolute summability for big and little Hankel operators $H_{f}^{2}, h_{f}^{2} : A_{I^} \pm^{p} (B_{n}) \to L^{q} (B_{n}, d v_{I^}^{2}),$ acting between we…

math.FA2024

Spectral asymptotic formula of Bessel--Riesz commutator

Zhijie Fan, Ji Li, Fedor Sukochev +1

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

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…