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

Michael Goldstein (), Wilhelm Schlag () and Mircea Voda ()
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Michael Goldstein: University of Toronto, Department of Mathematics
Wilhelm Schlag: Yale University, Department of Mathematics
Mircea Voda: The University of Chicago, Department of Mathematics

A chapter in Analysis at Large, 2022, pp 101-124 from Springer

Abstract: 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 ℂ 2 $$\mathbb {C}^2$$ . 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 ℂ 2 $$\mathbb {C}^2$$ which we establish in this work.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-05331-3_5

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DOI: 10.1007/978-3-031-05331-3_5

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