Interpolation by entire functions with growth conditions

Let $A_p(\text{C})$ be the space of entire functions such that $| f(z)|\le Ae^{Bp(z)}$forsome$A,B>0$andlet$V$ be a discrete sequence of complex numbers which is not a uniqueness set for $A_p(\text{C})$. We use $L^2$ estimates for the $\bar{\mathrm{\partial }}$ equation to charaterize the trace of $A_p(\text{C})$ on $V$.