Toeplitz Operators and Carleson Measures for Weighted Bergman Spaces Induced by Regular Weights

Abstract

In this paper, we give a universal description of the boundedness and compactness of Toeplitz operator \({\cal T}_\mu ^\omega \) between Bergman spaces \(A_\eta ^p\) and \(A_\nu^q\) when μ is a positive Borel measure, 1 < p,q < ∞ and ω, η, ν are regular weights. By using Khinchin’s inequality and Kahane’s inequality, we get a new characterization of the Carleson measure for Bergman spaces induced by regular weights.