arXiv subjects

Zhongshan Fang

Publications and source records attributed to Zhongshan Fang.

2 recordsLinked to original sources

arXiv2007

Difference of composition operators in the Polydiscs

This paper gives some simple estimates of the essential norm for the difference of composition operators induced by $ϕ$ and $ψ$ acting on bounded function space in the unit polydiscs $U^n$, where $ϕ(z)$ and $ψ(z)$be holomorphic self-maps of $U^n$. As its applications, a characterization of compact difference is given for composition operators acting on the bounded function spaces.

math.FA↗

arXiv2007

Composition operators in the Lipschitz Space of the Polydiscs

In 1987, Shapiro shew that composition operator induced by symbol $ϕ$ is compact on the Lipschltz space if and only if the infinity norm of $ϕ$ is less than 1 by a spectral-theoretic argument, where $ϕ$ is a holomorphic self-map of the unit disk. In this paper, we shall generalize Shapiro's result to the $n$-dimensional case.

math.FA↗