- Title: An operator identity for standard weighted Bergman shift operators
- Description: We consider the scale of standard weighted Bergman spaces in the unit disc. We show that in this scale of spaces the shift operator satisfies a certain operator identity. By duality arguments this operator identity leads to an operator inequality for the Bergman shift operator in the parameter range $-1<\alpha\leqq0$. In the special case $\alpha=0$ the operator inequality obtained coincides with that of Shimorin.
- Start Date: June 15, 2011
- Finished Date: June 15, 2011
- Supervisor: Anders Olofsson
- Student: Aron Wennman
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Last update: 2013-04-11
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