Embeddings of Decomposition Spaces Mark Hertzog diagnostic exploitation

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Embeddings of Decomposition Spaces Mark Hertzog diagnostic exploitationMany smoothness spaces in harmonic analysis are decomposition spaces. In this paper we ask: Given two such spaces, is there an embedding between the two? A decomposition space D(Q, Lp, Y ) is determined by a covering Q = (Qi)i? I of the frequency domain, an integrability exponent p, and a sequence space Y ? CI . Given these ingredients, the decomposition space norm of a distribution g is defined as g D(Q,Lp,Y ) = F? 1 (? i ? g ) Lp i? I Y , where (?