Abstract
We consider differences of composition operators between given weighted Banach spaces H∞v or H0v of analytic functions with weighted sup-norms and give estimates for the distance of these differences to the space of compact operators. We also study boundedness and compactness of the operators. Some examples illustrate our results.
| Original language | English |
|---|---|
| Pages (from-to) | 9-20 |
| Number of pages | 12 |
| Journal | Journal of the Australian Mathematical Society |
| Volume | 84 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Feb 2008 |
| MoE publication type | A1 Journal article-refereed |
Funding
The research of J. Bonet was partially supported by MEC and FEDER project MTM2004-02262. work of M. Lindström was partially supported by the Academy of Finland Project 205644. ©c 2008 Australian Mathematical Society 1446-7887/08 $A2.00 + 0.00
Keywords
- Compact operators
- Composition operators
- Essential norm
- Weighted Banach spaces of holomorphic functions
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