Chinese Quarterly Journal of Mathematics ›› 1999, Vol. 14 ›› Issue (2): 108-110.

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Boundedness of the Maximal Operator on Lipα(Rn)(0<α<1)

  

  1. Department of Basic Courses,Jiaozuo University,Jiaozuo,454151
  • Received:1999-02-14 Online:1999-06-30 Published:2024-09-27

Abstract:

It provides the boundary proof of the maximal operator on Lipschitz space.i.e.,if f ∈Lipα(Rn)(0<α<1) and

 infx∈RnM ( f ) ( x ) <∞,then almost every x ∈Rhas M ( f ) ( x ) <∞ and exists a constant C independent of f and x ,such that M ( f )α≤C<α.


Key words:  , the maximal operator;function space of Lipschitz;boundedness

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