5 citations · 7 across the 9 of their papers we have counts for
9 papers
Composition operators with closed range on the Dirichlet space
Guangfu Cao, Li He
It is well known that the composition operator on Hardy or Bergman space has a closed range if and only if its Navanlinna counting function induces a reverse Carleson measure. Simi…
Evaluation functions and composition operators on Banach spaces of holomorphic functions
Guangfu Cao, Li He, Ji Li
Let be the Banach space of holomorphic functions on a bounded connected domain in , which contains the ring of polynomials on . In this paper, we first e…
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…
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…
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…
Composition operators on Hardy-Sobolev spaces with bounded reproducing kernels
Guangfu Cao, Li He, Sui Huang
For any real let be the Hardy-Sobolev space on the unit disc . is a reproducing kernel Hilbert space and its reproducing kernel is bounded when $β>1…
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…
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…
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…