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http://dx.doi.org/10.7858/eamj.2012.28.1.073

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)

Publication Information

East Asian mathematical journal / v.28, no.1, 2012 , pp. 73-79 More about this Journal

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 $\mathbb{R}_+^{n+1}$ .

Keywords

upper half space; BMO; mean-Lipschitz spaces; Garsia-type norm;

Citations & Related Records

Reference

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