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.

arXiv comment25 pages. Final version. (Appeared under open access in Journal of function spaces, 2 March 2014.)

References in corpus (5)

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• A direct proof of Sobolev embeddings for quasi-homogeneous Lizorkin--Triebel spaces with mixed norms
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Cited by in corpus (5)

• Wavelet transforms for homogeneous mixed-norm Triebel--Lizorkin spaces
• The quest for the ultimate anisotropic Banach space
• Characterisation by Local Means of Anisotropic Lizorkin--Triebel Spaces with Mixed Norms
• Local and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin spaces
• Atomic and Littlewood-Paley Characterizations of Anisotropic Mixed-Norm Hardy Spaces and Their Applications