Essential Norm of Extended Ces\`{a}ro Operators from One Bergman Space to Another

Authors

  • Zhangjian Hu

Keywords:

Bergman spaces, extended Cesaro operators, essential norm

Abstract

Let $A^p(\varphi)$ be the $p$-th Bergman space consisting of all holomorphic functions $f$ on the unit ball $B$ of ${\mathbf C}^n$ for which $$\|f\|^p_{p,\varphi}= \int_B |f(z)|^p \varphi(z) dA(z)<+\infty,$$ where $\varphi$ is a given normal weight. And let $T_g$ be the extended Ces\`{a}ro operator with holomorphic symbol $g$. For $0

Published

2012-02-27

Issue

Vol. 85 No. 2 (2012)

Section

Articles
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