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

Fanghui Liao; Zongguang Liu; Xiaojin Zhang

doi:10.1155/2014/396418

Journal of Function Spaces (Jan 2014)

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

Fanghui Liao,
Zongguang Liu,
Xiaojin Zhang

Affiliations

Fanghui Liao: Department of Mathematics, China University of Mining & Technology (Beijing), Beijing 100083, China
Zongguang Liu: Department of Mathematics, China University of Mining & Technology (Beijing), Beijing 100083, China
Xiaojin Zhang: Department of Mathematics, China University of Mining & Technology (Beijing), Beijing 100083, China

DOI: https://doi.org/10.1155/2014/396418
Journal volume & issue: Vol. 2014

Abstract

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We introduce Triebel-Lizorkin and Besov spaces by Calderón’s reproducing formula on product spaces of homogeneous type. We also obtain smooth atomic and molecular decompositions for these spaces.

Published in Journal of Function Spaces

ISSN: 2314-8896 (Print); 2314-8888 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/9303

About the journal