East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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CHARACTERIZATION OF BMO OR LIPSCHITZ FUNCTIONS BY GARSIA-TYPE NORMS ON A BOUNDED DOMAIN

  • Byun, Jisoo (Department of Mathematics Education, Kyungnam University) ;
  • Im, Bong-Hak (Department of Mathematics, Pusan National University)
  • Received : 2013.01.09
  • Accepted : 2013.01.16
  • Published : 2013.01.31
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Abstract

In this paper, we prove that the BMO norm and the Garsia norm are equivalent on a bounded domain in $\mathbb{R}^N$. Also, we investigate the equivalent relation between the Lipschitz norm and the Garsia-type norm for harmonic functions.

Keywords

Acknowledgement

Supported by : Kyungnam University

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