Cartan Covers and Doubling Bernstein Type Inequalities on Analytic Subsets of ${\mathbb{C}}^2$

Michael Goldstein, Wilhelm Schlag, Mircea Voda

We prove a version of the doubling Bernstein inequalities for the trace of an analytic function of two variables on an analytic subset of ${\mathbb{C}}^2$. The estimate applies to th…