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  • The standard Sobolev imbedding theorem gives an improvement of integrability in dependence on the dimension. This gain in the integrability is always positive but it shrinks to zero when the dimension grows to infinity. Passing to a finer scale of target spaces, namely to logarithmic Lebesgue spaces, we show that there exists a residual logarithmic improvement independent of the dimension.
  • The standard Sobolev imbedding theorem gives an improvement of integrability in dependence on the dimension. This gain in the integrability is always positive but it shrinks to zero when the dimension grows to infinity. Passing to a finer scale of target spaces, namely to logarithmic Lebesgue spaces, we show that there exists a residual logarithmic improvement independent of the dimension. (en)
Title
  • Dimension-invariant Sobolev imbeddings
  • Dimension-invariant Sobolev imbeddings (en)
skos:prefLabel
  • Dimension-invariant Sobolev imbeddings
  • Dimension-invariant Sobolev imbeddings (en)
skos:notation
  • RIV/67985840:_____/11:00372935!RIV12-AV0-67985840
http://linked.open...avai/riv/aktivita
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  • P(GA201/06/0400), P(LC06052), Z(AV0Z10190503)
http://linked.open...vai/riv/dodaniDat
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  • 194714
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  • RIV/67985840:_____/11:00372935
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  • Sobolev space; imbedding theorem; uncertainty principle (en)
http://linked.open.../riv/klicoveSlovo
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  • [71101A7F1F1D]
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  • Kraków
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  • Function Spaces IX
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  • Krbec, Miroslav
  • Schmeisser, H.-J.
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http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • Polska Akademia Nauk
https://schema.org/isbn
  • 978-83-86806-12-6
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