Compact embeddings of Besov spaces involving only slowly varying smoothness

António Caetano; Amiran Gogatishvili; Bohumír Opic

Czechoslovak Mathematical Journal (2011)

  • Volume: 61, Issue: 4, page 923-940
  • ISSN: 0011-4642

Abstract

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We characterize compact embeddings of Besov spaces B p , r 0 , b ( ℝ n ) involving the zero classical smoothness and a slowly varying smoothness b into Lorentz-Karamata spaces L p , q ; b ¯ ( Ω ) , where Ω is a bounded domain in ℝ n and b ¯ is another slowly varying function.

How to cite

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Caetano, António, Gogatishvili, Amiran, and Opic, Bohumír. "Compact embeddings of Besov spaces involving only slowly varying smoothness." Czechoslovak Mathematical Journal 61.4 (2011): 923-940. <http://eudml.org/doc/196449>.

@article{Caetano2011,
abstract = {We characterize compact embeddings of Besov spaces $B^\{0,b\}_\{p,r\}(\mathbb \{R\}^n)$ involving the zero classical smoothness and a slowly varying smoothness $b$ into Lorentz-Karamata spaces $L_\{p, q; \bar\{b\}\}(\Omega )$, where $\Omega $ is a bounded domain in $\mathbb \{R\}^n$ and $\bar\{b\}$ is another slowly varying function.},
author = {Caetano, António, Gogatishvili, Amiran, Opic, Bohumír},
journal = {Czechoslovak Mathematical Journal},
keywords = {Besov spaces with generalized smoothness; Lorentz-Karamata spaces; compact embeddings; Besov spaces with generalized smoothness; Lorentz-Karamata space; compact embedding},
language = {eng},
number = {4},
pages = {923-940},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Compact embeddings of Besov spaces involving only slowly varying smoothness},
url = {http://eudml.org/doc/196449},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Caetano, António
AU - Gogatishvili, Amiran
AU - Opic, Bohumír
TI - Compact embeddings of Besov spaces involving only slowly varying smoothness
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 4
SP - 923
EP - 940
AB - We characterize compact embeddings of Besov spaces $B^{0,b}_{p,r}(\mathbb {R}^n)$ involving the zero classical smoothness and a slowly varying smoothness $b$ into Lorentz-Karamata spaces $L_{p, q; \bar{b}}(\Omega )$, where $\Omega $ is a bounded domain in $\mathbb {R}^n$ and $\bar{b}$ is another slowly varying function.
LA - eng
KW - Besov spaces with generalized smoothness; Lorentz-Karamata spaces; compact embeddings; Besov spaces with generalized smoothness; Lorentz-Karamata space; compact embedding
UR - http://eudml.org/doc/196449
ER -

References

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