WEIGHTED COMPOSITION OPERATORS BETWEEN H∞AND BMOA

Compactness of Composition Operators on Bmoa

A function theoretic characterization is given of when a composition operator is compact on BMOA, the space of analytic functions on the unit disk having radial limits that are of bounded mean oscillation on the unit circle. When the symbol of the composition operator is univalent, compactness on BMOA is shown to be equivalent to compactness on the Bloch space, and a characterization in terms o...

Compact composition operators on BMOA(Bn)

Dedicated to Professor T.-D. Zhong on the occasion of his 80th birthday Abstract: The paper gives some characterization theorems for the compact composition operator on some function spaces. In particular, it gives a characterization for compact composition operators on BMOA(Bn) with Bn being the unit ball in C , which generalizes a result proved by Bourdon, Cima and Matheson for the case n = 1...

Weighted Composition Operators between Bergman-type Spaces

In this paper, we characterize the boundedness and compactness of weighted composition operators ψCφf = ψfoφ acting between Bergman-type spaces.

Compact Composition Operators on Bmoa and the Bloch Space

We give a new and simple compactness criterion for composition operators Cφ on BMOA and the Bloch space in terms of the norms of φ in the respective spaces.

Compact Weighted Composition Operators and Multiplication Operators between Hardy Spaces