Spaces of Sobolev type with positive smoothness on ℝn, embeddings and growth envelopes

We characterize Triebel-Lizorkin spaces with positive smoothness on ℝn, obtained by different approaches. First we present three settings Fp,qs(ℝn),Fp,qs(ℝn),ℑp,qs(ℝn) associated to definitions by differences, Fourier-analytical methods and subatomic decompositions. We study their connections and di...

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Bibliographic Details
Main Author: Cornelia Schneider
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2009/815676
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