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Compactness of operators on the Bergman space of the Thullen domain. (arXiv:1810.05899v1 [math.CV])
来源于:arXiv
We study compact operators on the Bergman space of the Thullen domain defined
by $\{(z_1,z_2)\in \mathbb C^2: |z_1|^{2p}+|z_2|^2<1\}$ with $p>0$ and $p\neq
1$. The domain need not be smooth nor have a transitive automorphism group. We
give a sufficient condition for the boundedness of various operators on the
Bergman space. Under this boundedness condition, we characterize the
compactness of operators on the Bergman space of the Thullen domain. 查看全文>>