论文标题
多极的船体和细骨状
Pluripolar Hulls and Fine Holomorphy
论文作者
论文摘要
Poletsky和作者和Zwonek的示例表明，其图形的属性无处可扩展的全态函数，其图形的多极船体比各个函数的图都要大得多，并且包含多个纸张。我们将通过涉及的cantor型集合的一部分功能的精细分析延续来解释这种现象。这提供了有关船体的更多信息，并允许在原始示例中削弱条件和有效性。
Examples by Poletsky and the author and by Zwonek show the existence 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.
