Special issue on the occasion of Jaap Korevaar's 100-th birthday Pluripolar hulls and fine holomorphy

被引：0
作者：
Wiegerinck, Jan [1 ]
机构：
[1] Univ Amsterdam, KdV Inst Math, Sci Pk 105-107,POB 94248, NL-1090 GE Amsterdam, Netherlands
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2023年 / 34卷 / 02期
关键词：
Finely holomorphic function; Pluripolar hull; Fine analytic continuation; GRAPHS;
D O I：
10.1016/j.indag.2022.10.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Examples by Poletsky and the author and by Zwonek show the existence of nowhere extendable holomorphic functions with the property that the pluripolar hull of their graphs is much larger than the graph of the respective functions, and contains multiple sheets. We will explain this phenomenon by fine analytic continuation of the function over part of a Cantor-type set involved. This gives more information on the hull, and allows for weakening and effectiveness of the conditions in the original examples.(c) 2022 The Author(s). Published by Elsevier B.V. on behalf of Royal Dutch Mathematical Society (KWG). This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
引用
收藏
页码：248 / 258
页数：11
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