Abstract
Every weakly compact composition operator between weighted Banach spaces H∞v of analytic functions with weighted sup-norms is compact. Lower and upper estimates of the essential norm of continuous composition operators are obtained. The norms of the point evaluation functionals on the Banach space H∞v are also estimated, thus permitting to get new characterizations of compact composition operators between these spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 139-148 |
| Number of pages | 10 |
| Journal | Canadian Mathematical Bulletin |
| Volume | 42 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Jun 1999 |
| MoE publication type | A1 Journal article-refereed |
Keywords
- Compact operator
- Composition operator
- Weakly compact operator
- Weighted Banach spaces of holomorphic functions