1. CJM 2011 (vol 63 pp. 862)
| Linear Combinations of Composition Operators on the Bloch Spaces|
We characterize the compactness of linear combinations of analytic composition operators on the Bloch space. We also study their boundedness and compactness on the little Bloch space.
Keywords: composition operator, compactness, Bloch space
Categories:47B33, 30D45, 47B07
2. CJM 2010 (vol 62 pp. 961)
|Multiplicative Isometries and Isometric Zero-Divisors|
For some Banach spaces of analytic functions in the unit disk (weighted Bergman spaces, Bloch space, Dirichlet-type spaces), the isometric pointwise multipliers are found to be unimodular constants. As a consequence, it is shown that none of those spaces have isometric zero-divisors. Isometric coefficient multipliers are also investigated.
Keywords:Banach spaces of analytic functions, Hardy spaces, Bergman spaces, Bloch space, Dirichlet space, Dirichlet-type spaces, pointwise multipliers, coefficient multipliers, isometries, isometric zero-divisors