Abstract
With the help of the maximal function caracterizations of the Besov-type space B s,τ p,q and the Triebel-Lizorkin-type space F s,τ p,q , we present the atomic decomposition of these function spaces. Our results cover the results on classical Besov and Triebel-Lizorkin spaces by taking τ = 0.
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Drihem, D. Atomic decomposition of Besov-type and Triebel-Lizorkin-type spaces. Sci. China Math. 56, 1073–1086 (2013). https://doi.org/10.1007/s11425-012-4425-8
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DOI: https://doi.org/10.1007/s11425-012-4425-8