数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (1): 109-113.

• 论文 • 上一篇    下一篇

A GENERALIZATION OF LEBESGUE DIFFERENTIAL THEOREM AND ITS APPLICATION

 周振荣   

  1. Mathematical Institute, Wuhan Industry College, Wuhan 430023, China
  • 出版日期:2001-01-06 发布日期:2001-01-06
  • 基金资助:

    The author is supported by the Natural Science Foundation of China

A GENERALIZATION OF LEBESGUE DIFFERENTIAL THEOREM AND ITS APPLICATION

 ZHOU Zhen-Rong   

  1. Mathematical Institute, Wuhan Industry College, Wuhan 430023, China
  • Online:2001-01-06 Published:2001-01-06
  • Supported by:

    The author is supported by the Natural Science Foundation of China

摘要:

In this paper, we generalize the classical Lebesgue differential theorem to the case of rather general metrics. Then, we apply it to the subelliptic metric to check the integral characterization of H¨older continuous functions related to the metric.

关键词: Morreys space, Campnatos space, trnslation-invariance

Abstract:

In this paper, we generalize the classical Lebesgue differential theorem to the case of rather general metrics. Then, we apply it to the subelliptic metric to check the integral characterization of H¨older continuous functions related to the metric.

Key words: Morreys space, Campnatos space, trnslation-invariance

中图分类号: 

  • 35Q05