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2001 Zero varieties for the Nevanlinna class on all convex domains of finite type
Klas Diederich, Emmanuel Mazzilli
Nagoya Math. J. 163: 215-227 (2001).

Abstract

It is shown, that the so-called Blaschke condition characterizes in any bounded smooth convex domain of finite type exactly the divisors which are zero sets of functions of the Nevanlinna class on the domain. The main tool is a non-isotropic $L^1$ estimate for solutions of the Cauchy-Riemann equations on such domains, which are obtained by estimating suitable kernels of Berndtsson-Andersson type.

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Klas Diederich. Emmanuel Mazzilli. "Zero varieties for the Nevanlinna class on all convex domains of finite type." Nagoya Math. J. 163 215 - 227, 2001.

Information

Published: 2001
First available in Project Euclid: 27 April 2005

zbMATH: 0994.32003
MathSciNet: MR1855196

Subjects:
Primary: 32A22
Secondary: 32F32, 32T25, 32W05

Rights: Copyright © 2001 Editorial Board, Nagoya Mathematical Journal

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Vol.163 • 2001
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