  In this paper, we give a universal description of the boundedness and
compactness of Toeplitz operator $\mathcal{T}_\mu^\omega$ between Bergman
spaces $A_\eta^p$ and $A_\upsilon^q$ when $\mu$ is a positive Borel measure,
$1<p,q<\infty$ and $\omega,\eta,\upsilon$ 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.
