Difference of composition operators on weight Bergman spaces with doubling weight

Abstract

In this paper, some characterizations for the compact difference of composition operators on Bergman spaces $A_{\omega }^p$ with doubling weight are given, which extend Moorhouse's characterization for the difference of composition operators on the weighted Bergman space $A_{\alpha }^2$.

19 pages

References in corpus (2)

• Embedding theorems for Bergman spaces via harmonic analysis
• Difference of composition operators between weighted Bergman spaces on the unit ball