Full paper in PDF:
$% D. Yang, Localization principle for Triebel-Lizorkin spaces on spaces of homogeneous type, Rev. Mat. Complut. 17 (2004), 229249.%$

Localization Principle for Triebel-Lizorkin Spaces on Spaces of Homogeneous Type

Dachun YANG
Department of Mathematics
Beijing Normal University
Beijing 100875
People’s Republic of China
dcyang@bnu.edu.cn

Received: May 6,  2002
Accepted: December 24, 2003
ABSTRACT

The author establishes the localization principle for the Triebel-Lizorkin spaces on spaces of homogeneous type.

Key words: space of homogeneous type, Triebel-Lizorkin space, localization principle, atom, Littlewood-Paley S-function, Calderón-Zygmund reproducing formula.
2000 Mathematics Subject Classification:
Primary 43A85; Secondary 46E35.