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Journal of Function Spaces
Volume 2014 (2014), Article ID 964794, 15 pages
Research Article

Anisotropic, Mixed-Norm Lizorkin-Triebel Spaces and Diffeomorphic Maps

1Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, 9220 Aalborg Øst, Denmark
2Institute of Mathematics, Ernst-Abbe-Platz 2, 07740 Jena, Germany

Received 22 May 2013; Accepted 28 August 2013; Published 2 March 2014

Academic Editor: Gen-Qi Xu

Copyright © 2014 J. Johnsen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper gives general results on invariance of anisotropic Lizorkin-Triebel spaces with mixed norms under coordinate transformations on Euclidean space, open sets, and cylindrical domains.