East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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CHARACTERIZATION OF LIPSCHITZ-TYPE FUNCTIONS BY GARSIA-TYPE NORMS ON THE UPPER HALF SPACE

  • Byun, Ji-Soo (Department of Mathematics Education, Kyungnam University) ;
  • Cho, Hong-Rae (Department of Mathematics, Pusan National University) ;
  • Im, Bong-Hak (Department of Mathematics, Pusan National University)
  • Received : 2011.10.06
  • Accepted : 2012.01.11
  • Published : 2012.01.31
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Abstract

It is well-known that the BMO norm is equivalent to the Garsia norm. In this paper, we characterize mean-Lipschitz spaces by using Garsia-type norms on the upper half space $\mathbb{R}_+^{n+1}$.

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References

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