A direct proof of Sobolev embeddings for quasi-homogeneous Lizorkin–Triebel spaces with mixed norms

The article deals with a simplified proof of the Sobolev embedding theorem for Lizorkin–Triebel spaces (that contain the Lp-Sobolev spaces Hps as special cases). The method extends to a proof of the corresponding fact for general Lizorkin–Triebel spaces based on mixed Lp-norms. In this context a Nik...

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Bibliographic Details
Main Authors: Jon Johnsen, Winfried Sickel
Format: Article
Language:English
Published: Wiley 2007-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2007/714905
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