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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F11%3A00363305%21RIV12-AV0-67985840
rdf:type
n12:Vysledek skos:Concept
dcterms:description
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.
dcterms: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
skos:prefLabel
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
skos:notation
RIV/67985840:_____/11:00363305!RIV12-AV0-67985840
n12:predkladatel
n13:ico%3A67985840
n3:aktivita
n9:Z n9:P
n3:aktivity
P(GA201/05/2033), P(GA201/08/0383), Z(AV0Z10190503), Z(MSM0021620839)
n3:cisloPeriodika
10
n3:dodaniDat
n11:2012
n3:domaciTvurceVysledku
n18:3570487
n3:druhVysledku
n16:J
n3:duvernostUdaju
n14:S
n3:entitaPredkladatele
n17:predkladatel
n3:idSjednocenehoVysledku
197321
n3:idVysledku
RIV/67985840:_____/11:00363305
n3:jazykVysledku
n20:eng
n3:klicovaSlova
Besov spaces with generalized smoothness; classical Lorentz spaces; Lorentz-Karamata spaces; sharp embeddings; growth envelopes
n3:klicoveSlovo
n6:Besov%20spaces%20with%20generalized%20smoothness n6:Lorentz-Karamata%20spaces n6:growth%20envelopes n6:sharp%20embeddings n6:classical%20Lorentz%20spaces
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[FB431C5947ED]
n3:nazevZdroje
Journal of Approximation Theory
n3:obor
n19:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:projekt
n10:GA201%2F05%2F2033 n10:GA201%2F08%2F0383
n3:rokUplatneniVysledku
n11:2011
n3:svazekPeriodika
163
n3:tvurceVysledku
Opic, B. Gogatishvili, Amiran Caetano, A. M.
n3:wos
000295063500002
n3:zamer
n7:AV0Z10190503 n7:MSM0021620839
s:issn
0021-9045
s:numberOfPages
27
n8:doi
10.1016/j.jat.2011.03.005