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THE HILBERT–SCHMIDT NORM OF A COMPOSITION OPERATOR ON THE BERGMAN SPACE
- Source :
- Bulletin of the Australian Mathematical Society. 95:250-259
- Publication Year :
- 2016
- Publisher :
- Cambridge University Press (CUP), 2016.
-
Abstract
- We use a generalised Nevanlinna counting function to compute the Hilbert–Schmidt norm of a composition operator on the Bergman space $L_{a}^{2}(\mathbb{D})$ and weighted Bergman spaces $L_{a}^{1}(\text{d}A_{\unicode[STIX]{x1D6FC}})$ when $\unicode[STIX]{x1D6FC}$ is a nonnegative integer.
Details
- ISSN :
- 17551633 and 00049727
- Volume :
- 95
- Database :
- OpenAIRE
- Journal :
- Bulletin of the Australian Mathematical Society
- Accession number :
- edsair.doi...........83919799cb21ba11eb2672a50744aa2d