Carleson Measures and Toeplitz Operators on Doubling Fock Spaces

Given $phi$ a subharmonic function on the complex plane$mathbb{C}$, with $Deltaphi rmd A$ being a doubling measure, theauthor studies Fock Carleson measures and some characterizations on$mu$ such that the induced positive Toeplitz operator $T_mu$ isbounded or compact between the doubling Fock space $F^p_phi$ and$F^infty_phi$ with $0