Anisotropic, Mixed-Norm Lizorkin--Triebel Spaces and Diffeomorphic Maps
  This article gives general results on invariance of anisotropic Lizorkin--Triebel spaces with mixed norms under coordinate transformations on Euclidean space, open sets and cylindrical domains. 
Jon Johnsen, Sabrina Munch Hansen, Winfried Sickel
math.AP