Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (1): 109-113.

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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

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

CLC Number: 

  • 35Q05
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