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October 2019 A Cantor set whose polynomial hull contains no analytic discs
Alexander J. Izzo, Norman Levenberg
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Ark. Mat. 57(2): 373-379 (October 2019). DOI: 10.4310/ARKIV.2019.v57.n2.a6

Abstract

A generalization of a result of Wermer concerning the existence of polynomial hulls without analytic discs is presented. As a consequence it is shown that there exists a Cantor set $X$ in $\mathbb{C}^3$ whose polynomial hull is strictly larger than $X$ but contains no analytic discs.

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Alexander J. Izzo. Norman Levenberg. "A Cantor set whose polynomial hull contains no analytic discs." Ark. Mat. 57 (2) 373 - 379, October 2019. https://doi.org/10.4310/ARKIV.2019.v57.n2.a6

Information

Received: 25 February 2019; Published: October 2019
First available in Project Euclid: 16 April 2020

zbMATH: 07114510
MathSciNet: MR4018758
Digital Object Identifier: 10.4310/ARKIV.2019.v57.n2.a6

Subjects:
Primary: 32E20

Rights: Copyright © 2019 Institut Mittag-Leffler

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Vol.57 • No. 2 • October 2019
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