Bernstein Type Inequalities for Restrictions of Polynomials to Complex Submanifolds of \mathbf \mathbb C^N

2016/12/27 by Brudnyi, Alexander
#26D05 #30D15 #32A17 #46E15 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1612.08736

Abstract

The paper studies Bernstein type inequalities for restrictions of holomorphic polynomials to graphs Γ_f⊂\mathbb C^n+m of holomorphic maps f:\mathbb Cⁿ→\mathbb C^m. We establish general properties of exponents in such inequalities and describe some classes of graphs admitting Bernstein type inequalities of optimal exponents and of exponents of polynomial growth.

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