Yongjiang Duan

activity

20202026

collaborators

4 papers

math.FA2026

Toeplitz and Hankel operators on Bergman spaces with doubling weights

Yongjiang Duan, Kunyu Guo, Junhan Hong +1

In this paper, we focus on the boundedness and compactness of the Toeplitz operators and the Hankel operators on the $D$ -weighted Bergman spaces $A_{ω}^{p}$ ( $1 \leq p < \infty$ …

math.FA2022

Two weight inequality for Hankel form on weighted Bergman spaces induced by doubling weights

Yongjiang Duan, Jouni Rättyä, Siyu Wang +1

The boundedness of the small Hankel operator $h_{f}^{ν} (g) = P_{ν} (f g ˉ)$ , induced by an analytic symbol $f$ and the Bergman projection $P_{ν}$ associated to $ν$ , acting from the weighte…

math.FA2021

Volterra type integration operators between weighted Bergman spaces and Hardy spaces

Yongjiang Duan, Siyu Wang, Zipeng Wang

Let $D$ be the class of radial weights on the unit disk which satisfy both forward and reverse doubling conditions. Let $g$ be an analytic function on the unit disk $\mat…

math.FA2020

Toeplitz operators on weighted Bergman spaces induced by a class of radial weights

Yongjiang Duan, Kunyu Guo, Siyu Wang +1

Suppose that $ω$ is a radial weight on the unit disk that satisfies both forward and reverse doubling conditions. Using Carleson measures and $T 1$ -type conditions, we obtain necess…