[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2013.008

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)

Publication Information

East Asian mathematical journal / v.29, no.1, 2013 , pp. 91-99 More about this Journal

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

BMO; Lipschitz function; harmonic function; Garsia-type norm;

Citations & Related Records

Reference

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