Zhijie Fan

activity

20232025

collaborators

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4 papers · 1 filter

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.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…