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

Abstract

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.

25 pages. Final version. (Appeared under open access in Journal of function spaces, 2 March 2014.)

References in corpus (4)

• On the trace problem for Triebel--Lizorkin spaces with mixed norms
• Pointwise multiplication of Besov and Triebel--Lizorkin spaces
• A direct proof of Sobolev embeddings for quasi-homogeneous Lizorkin--Triebel spaces with mixed norms
• Characterisation by Local Means of Anisotropic Lizorkin--Triebel Spaces with Mixed Norms

Cited by in corpus (3)

• Wavelet transforms for homogeneous mixed-norm Triebel--Lizorkin spaces
• Characterisation by Local Means of Anisotropic Lizorkin--Triebel Spaces with Mixed Norms
• Atomic and Littlewood-Paley Characterizations of Anisotropic Mixed-Norm Hardy Spaces and Their Applications