This paper provides a characterization of expansive matrices generating the same anisotropic homogeneous Triebel-Lizorkin space for and . It is shown that if and only if the homogeneous quasi-norms associated to the matrices , are equivalent, except for the case with . The obtained results complement and extend the classification of anisotropic Hardy spaces , , in Bownik (Mem Am Math Soc 164(781):vi+122, 2003).
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11090842 | PMC |
| http://dx.doi.org/10.1007/s00208-023-02690-y | DOI Listing |
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