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Atomic decomposition of Besov-type and Triebel-Lizorkin-type spaces

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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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Authors and Affiliations

  1. Department of Mathematics, Laboratory of Mathematics Pure and Applied, M’sila University, M’sila, 28000, Algeria

    Douadi Drihem

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  1. Douadi Drihem
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Correspondence to Douadi Drihem.

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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

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