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Atomic decomposition of Besov-type and Triebel-Lizorkin-type spaces
Authors:Douadi Drihem
Affiliation:14425. Department of Mathematics, Laboratory of Mathematics Pure and Applied, M’sila University, M’sila, 28000, Algeria
Abstract:With the help of the maximal function caracterizations of the Besov-type space B p,q s,τ and the Triebel-Lizorkin-type space F p,q s,τ , 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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