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
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