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  • We characterize local embeddings of Besov spaces B^{0,b}_{p,r} involving only a slowly varying smoothness b into classical Lorentz spaces. These results are applied to establish sharp local embeddings of the Besov spaces in question into Lorentz–Karamata spaces. As a consequence of these results, we are able to determine growth envelopes of spaces B^{0,b}_{p,r} and to show that we cannot describe all local embeddings of Besov spaces B^{0,b}_{p,r} into Lorentz–Karamata spaces in terms of growth envelopes.
  • We characterize local embeddings of Besov spaces B^{0,b}_{p,r} involving only a slowly varying smoothness b into classical Lorentz spaces. These results are applied to establish sharp local embeddings of the Besov spaces in question into Lorentz–Karamata spaces. As a consequence of these results, we are able to determine growth envelopes of spaces B^{0,b}_{p,r} and to show that we cannot describe all local embeddings of Besov spaces B^{0,b}_{p,r} into Lorentz–Karamata spaces in terms of growth envelopes. (en)
Title
  • Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness
  • Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness (en)
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  • Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness
  • Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness (en)
skos:notation
  • RIV/67985840:_____/11:00363305!RIV12-AV0-67985840
http://linked.open...avai/predkladatel
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  • P(GA201/05/2033), P(GA201/08/0383), Z(AV0Z10190503), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 10
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  • 197321
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  • RIV/67985840:_____/11:00363305
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  • Besov spaces with generalized smoothness; classical Lorentz spaces; Lorentz-Karamata spaces; sharp embeddings; growth envelopes (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [FB431C5947ED]
http://linked.open...i/riv/nazevZdroje
  • Journal of Approximation Theory
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  • 163
http://linked.open...iv/tvurceVysledku
  • Caetano, A. M.
  • Gogatishvili, Amiran
  • Opic, B.
http://linked.open...ain/vavai/riv/wos
  • 000295063500002
http://linked.open...n/vavai/riv/zamer
issn
  • 0021-9045
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.jat.2011.03.005
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