Abstract
The concept of local growth envelope \(({\cal E}_{LG}A, u)\) of the quasi-normed function space \(A\) is applied to the Triebel-Lizorkin spaces of generalized smoothness \(F^{\sigma,N}_{p,q} ({\Bbb R}^n).\) In order to achieve this, a standardization result for these and corresponding Besov spaces is derived.
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Caetano, A., Leopold, HG. Local Growth Envelopes of Triebel-Lizorkin Spaces of Generalized Smoothness. J Fourier Anal Appl 12, 427–445 (2006). https://doi.org/10.1007/s00041-006-6018-9
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DOI: https://doi.org/10.1007/s00041-006-6018-9