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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F11%3A00372935%21RIV12-AV0-67985840
rdf:type
skos:Concept n16:Vysledek
dcterms:description
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.
dcterms:title
Dimension-invariant Sobolev imbeddings Dimension-invariant Sobolev imbeddings
skos:prefLabel
Dimension-invariant Sobolev imbeddings Dimension-invariant Sobolev imbeddings
skos:notation
RIV/67985840:_____/11:00372935!RIV12-AV0-67985840
n16:predkladatel
n19:ico%3A67985840
n3:aktivita
n11:Z n11:P
n3:aktivity
P(GA201/06/0400), P(LC06052), Z(AV0Z10190503)
n3:dodaniDat
n13:2012
n3:domaciTvurceVysledku
n22:7054483
n3:druhVysledku
n17:D
n3:duvernostUdaju
n10:S
n3:entitaPredkladatele
n21:predkladatel
n3:idSjednocenehoVysledku
194714
n3:idVysledku
RIV/67985840:_____/11:00372935
n3:jazykVysledku
n18:eng
n3:klicovaSlova
Sobolev space; imbedding theorem; uncertainty principle
n3:klicoveSlovo
n5:imbedding%20theorem n5:Sobolev%20space n5:uncertainty%20principle
n3:kontrolniKodProRIV
[71101A7F1F1D]
n3:mistoKonaniAkce
Kraków
n3:mistoVydani
Warszawa
n3:nazevZdroje
Function Spaces IX
n3:obor
n14:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n4:GA201%2F06%2F0400 n4:LC06052
n3:rokUplatneniVysledku
n13:2011
n3:tvurceVysledku
Krbec, Miroslav Schmeisser, H.-J.
n3:typAkce
n9:WRD
n3:zahajeniAkce
2009-07-06+02:00
n3:zamer
n20:AV0Z10190503
s:numberOfPages
13
n12:hasPublisher
Polska Akademia Nauk
n15:isbn
978-83-86806-12-6