Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 961-974 |
| Journal | Canadian Journal of Mathematics |
| Volume | 62 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2010 |
Subject classification (UKÄ)
- Mathematics
Free keywords
- multipliers
- pointwise
- Dirichlet-type spaces
- Dirichlet space
- Bloch space
- Bergman spaces
- Banach spaces of analytic functions
- Hardy spaces
- zero-divisors
- isometric
- isometrics
- coefficient multipliers