Positive Toeplitz operators between different doubling Fock spaces. (English) Zbl 06871327
Summary: Let \(F^{p}(\phi)\) be the weighted Fock space on the complex plane \(\mathbb{C}\), where \(\phi\) is subharmonic with \(\Delta \phi \,dA\) a doubling measure. In this paper, we characterize the positive Borel measure \(\mu\) on \(\mathbb{C}\) for which the induced Toeplitz operator \(T_\mu\) is bounded (or compact) from one weighted Fock space \(F^{p}(\phi)\) to another \(F^{q}(\phi)\) for \(0 < p, q < \infty\).
MSC:
| 47B38 | Linear operators on function spaces (general) |
| 32A37 | Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) |
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