a1 Department of Mathematics, Sun Yat-sen University, Guangzhou, PR China (email: email@example.com)
We obtain an atomic decomposition for weighted Triebel–Lizorkin spaces on spaces of homogeneous type, using the area function, the discrete Calderón reproducing formula and discrete sequence spaces.
(Received June 14 2009)
(Accepted September 14 2010)
(Online publication January 25 2011)
2010 Mathematics subject classification
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The author is supported by the Young Faculty Career Start Program (Grant No. 34000-3126172) and by NNSF of China (Grant No. 11001275).