spaces of sobolev type with positive smoothness on ℝn, embeddings and growth envelopes
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ID: 177538
2009
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Abstract
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 diversity,
as well as embeddings between these spaces and into Lorentz spaces. Secondly,
relying on previous results obtained for Besov spaces 𝔅p,qs(ℝn), we determine
their growth envelopes 𝔈G(Fp,qs(ℝn)) for 0≺p≺∞, 0≺q≤∞, s≻0, and
finally discuss some applications.
| Reference Key |
schneider2009journalspaces
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|---|---|
| Authors | ;Cornelia Schneider |
| Journal | Journal of sex research |
| Year | 2009 |
| DOI |
10.1155/2009/815676
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| URL | |
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