论文标题
两个与锥形能量有关的例子
Two examples related to conical energies
论文作者
论文摘要
在最近的一篇文章中，我们介绍并研究了锥形能量。我们用它们证明了三个结果：对可重新处理的措施的表征，具有大lipschitz图的集合的表征以及足够的条件，可以使奇异的奇异积分运算符的界限。在本说明中，我们提供了两个与这些结果的清晰度有关的示例。其中之一是由于乔伊斯（Joyce）和莫特斯（Mörters），另一个是新的，并且可能引起独立的兴趣，作为一个相对丑陋的集合，其中包含大量Lipschitz图。
In a recent article we introduced and studied conical energies. We used them to prove three results: a characterization of rectifiable measures, a characterization of sets with big pieces of Lipschitz graphs, and a sufficient condition for boundedness of nice singular integral operators. In this note we give two examples related to sharpness of these results. One of them is due to Joyce and Mörters, the other is new and could be of independent interest as an example of a relatively ugly set containing big pieces of Lipschitz graphs.
