activity
20122022
most citedSpectral theory of multiplication operators on Hardy-Sobolev spaces

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

collaborators

6 papers

math.CV2022

Composition Operators on Dirichlet Spaces over the Half-plane

Guangfu Cao, Haichou Li

As continuation of the study of polynomial approximation and composition operators on Dirichlet spaces of unit disk, which has settled a problem posed by Cima in 1976, the present…

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 and Hankel product on Fock-Sobolev space for two polynomials and 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 on the fractional Fock-Sobolev space , , where (introduced by Kehe Zhu) is g…

math.CV2019

A Boundedness Criterion for Singular Integral Operators of convolution type on the Fock Space

Guangfu Cao, Ji Li, Minxing Shen +2

We show that for an entire function belonging to the Fock space on the complex Euclidean space , the integral operator \begin{eqnar…

math.FA20175 cited

Spectral theory of multiplication operators on Hardy-Sobolev spaces

Guangfu Cao, Li He, Kehe Zhu

For a pointwise multiplier of the Hardy-Sobolev space on the open unit ball $\bn$ in $\cn$, we study spectral properties of the multiplication operator $M_φ: H^2_β\to H…

math.FA2012

Boundedness and compactness of operators on the Fock space

Xiaofeng Wang, Guangfu Cao, Kehe Zhu

We obtain sufficient conditions for a densely defined operator on the Fock space to be bounded or compact. Under the boundedness condition we then characterize the compactness of t…