Cartan Covers and Doubling Bernstein Type Inequalities on Analytic Subsets of $\mathbb{C}^2$
Complex Variables
2016-09-30 v1 Spectral Theory
Abstract
We prove a version of the doubling Bernstein inequalities for the trace of an analytic function of two variables on an analytic subset of . The estimate applies to the whole analytic set in question including its singular points. The proof relies on a version of the Cartan estimate for maps in which we establish in this work.
Keywords
Cite
@article{arxiv.1609.09164,
title = {Cartan Covers and Doubling Bernstein Type Inequalities on Analytic Subsets of $\mathbb{C}^2$},
author = {Michael Goldstein and Wilhelm Schlag and Mircea Voda},
journal= {arXiv preprint arXiv:1609.09164},
year = {2016}
}