论文标题
从霍尔德三角到整个飞机
From Hölder Triangles to the Whole Plane
论文作者
论文摘要
我们展示了如何通过比较给定的多项式函数在其临界点上的值以及给定的多项式函数的多重性来确定单个变量的两个实际多项式函数是否等效。然后，我们展示了如何减少$ {\ cal r} $ - 半半lipschitz的分类$β$ - quasihomosiens的多项式对两个真实变量的多项式分类，以在某些相当普遍的条件下，单个变量的真实多项函数的Lipschitz分类。
We show how to determine whether two given real polynomial functions of a single variable are Lipschitz equivalent by comparing the values and also the multiplicities of the given polynomial functions at their critical points. Then we show how to reduce the problem of ${\cal R}$-semialgebraic Lipschitz classification of $β$-quasihomogeneous polynomials of two real variables to the problem of Lipschitz classification of real polynomial functions of a single variable, under some fairly general conditions.
