度量测度空间上的Holder连续函数的积分特征

An integral characterization of Holder continuous functions on metric measure spaces

经典的Holder连续函数的积分特征在椭圆型偏微分方程的正则性理论中发挥着重要的作用.本文的主要目的是运用度量测度空间上的Morrey空间和Companato空间理论,证明CC度量测度空间上Holder连续函数的积分特征.

The classical integral characterization of Holder continuous functions plays an important role in regularities of elliptic PDE＇s. In this paper, by taking use of Morrey and Companato space theory on metric measure spaces, we prove an integral characterization of Holder continuous functions on CC metric measure spaces.