Toeplitz Operators on the Bergman Space of Planar Domains with Essentially Radial Symbols

الملخص EN

We study the problem of the boundedness and compactness of Tϕ when ϕ∈L2(Ω) and Ω is a planar domain.

We find a necessary and sufficient condition while imposing a condition that generalizes the notion of radial symbol on the disk.

We also analyze the relationship between the boundary behavior of the Berezin transform and the compactness of Tϕ.