Li He

activity

20172026

most citedSpectral theory of multiplication operators on Hardy-Sobolev spaces

5 citations · 5 across the 9 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.FA2021

Products of Toeplitz and Hankel Operators on Fock-Sobolev Spaces

Yiyuan Zhang, Guangfu Cao, Li He

In this paper, we investigate the boundedness of Toeplitz product $T_{f} T_{g}$ and Hankel product $H_{f}^{*} H_{g}$ on Fock-Sobolev space for two polynomials $f$ and $g$ in $z,\ove…

math.CV2021

Boundedness criterion for integral operators on the fractional Fock-Sobolev spaces

Guangfu Cao, Li He, Ji Li +1

We provide a boundedness criterion for the integral operator $S_{φ}$ on the fractional Fock-Sobolev space $F^{s, 2} (C^{n})$ , $s \geq 0$ , where $S_{φ}$ (introduced by Kehe Zhu) is g…

math.CV2021

Composition operators on Hardy-Sobolev spaces with bounded reproducing kernels

Guangfu Cao, Li He, Sui Huang

For any real $β$ let $H_{β}^{2}$ be the Hardy-Sobolev space on the unit disc $D$ . $H_{β}^{2}$ is a reproducing kernel Hilbert space and its reproducing kernel is bounded when $β>1…