Abstract
Under a mild condition we show that a composition operator C φ is compact on the Bergman space Aαp of the open unit ball in ℂn if and only if (1 - |z|)/(1 - |φ(z)|) → 0 as |z| → 1-.
| Original language | English |
|---|---|
| Pages (from-to) | 273-283 |
| Number of pages | 11 |
| Journal | Houston Journal of Mathematics |
| Volume | 33 |
| Issue number | 1 |
| State | Published - 2007 |
Keywords
- Bergman space
- Composition operator
- Schur's test
Fingerprint
Dive into the research topics of 'Compact composition operators on Bergman spaces of the unit ball'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver