抛物距离空间中Holder连续函数的延拓

Extension of Holder Continuous Functions in Parabolic Distance Space

应用单位分解法,研究了定义在抛物距离空间中的Holder连续函数的保范延拓问题,证明了这类函数可以延拓到更大的空间中去.

Norm-preserving extension of Holder continuous functions defined in parabolic distance space is studied,by using partition of unity method.It is proved that these functions can extended to a larger space.