Geometric conditions for interpolation in weighted spaces of entire functions

We use L2 estimates for the\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\bar \partial $$ \end{document} equation to find geometric conditions on discrete interpolating varieties for weighted spaces Ap(ℂ) of entire functions such that |f(z)|≤AeBp(z) for some A, B>0. In particular, we give a characterization when p(z)=e|z| and more generally, when In p(er) is convex andIn p(r) is concave.