CHARACTERIZATION OF LIPSCHITZ-TYPE FUNCTIONS BY GARSIA-TYPE NORMS ON THE UPPER HALF SPACE

• Journal title : East Asian mathematical journal
• Volume 28, Issue 1,  2012, pp.73-79
• Publisher : Youngnam Mathematical Society
• DOI : 10.7858/eamj.2012.28.1.073
Title & Authors
CHARACTERIZATION OF LIPSCHITZ-TYPE FUNCTIONS BY GARSIA-TYPE NORMS ON THE UPPER HALF SPACE
Byun, Ji-Soo; Cho, Hong-Rae; Im, Bong-Hak;

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 $\small{\mathbb{R}_+^{n+1}}$.
Keywords
upper half space;BMO;mean-Lipschitz spaces;Garsia-type norm;
Language
English
Cited by
References
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