Zhijie Fan

activity

20232025

collaborators

5 papers

math.FA2025

Absolute summability from diagonal operators to Carleson embeddings and Hankel operators

Zhijie Fan, Bo He, Xiaofeng Wang +1

The present paper consists of three parts, each building on the preceding one. In Part I, we characterize the scalar sequences $b = {b_{k}}$ for which the diagonal operator $…

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.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…

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…