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Smooth Decompositions of Triebel-Lizorkin and Besov Spaces on Product Spaces of Homogeneous Type

Fanghui Liao,Zongguang Liu,Xiaojin Zhang

JOURNAL OF FUNCTION SPACES（2014）

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Abstract
We introduce Triebel-Lizorkin and Besov spaces by Calderon's reproducing formula on product spaces of homogeneous type. We also obtain smooth atomic and molecular decompositions for these spaces.
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Key words
besov spaces,product spaces,homogeneous type,triebel-lizorkin
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