Carleson Measures and Toeplitz Operators on Doubling Fock Spaces

Abstract

Given ϕ a subharmonic function on the complex plane ℂ, with ΔϕdA being a doubling measure, the author studies Fock Carleson measures and some characterizations on μ such that the induced positive Toeplitz operator T _μ is bounded or compact between the doubling Fock space $F_\phi ^p$ and $F_\phi ^\infty $ with 0 < p ≤ ∞, where μ is a positive Borel measure on ℂ.

Keywords

Doubling Fock spaces / Carleson measure / Toeplitz operators

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