A Cantor set whose polynomial hull contains no analytic discs

2018/01/10 by Izzo, Alexander J., Levenberg, Norman
#32E20 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1801.03205

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 C³ whose polynomial hull is strictly larger than X but contains no analytic discs.

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