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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F10%3A00339255%21RIV10-AV0-67985840
rdf:type
n8:Vysledek skos:Concept
dcterms:description
Let X = (X, d, μ) be a doubling metric measure space. We define so called Besov spaces B_{p,q}^α(X). We will show that if a doubling metric measure space (X, d, μ) supports a (1, p)-Poincaré inequality, then the Besov space B_{p,q}^α(X) coincides with the real interpolation space (L_{p}(X), KS_{1,p}(X))_{ α ,q}, where KS_{1,p}(X) is the Sobolev space defined by Korevaar and Schoen . This result is used to prove the imbedding theorems. Let X = (X, d, μ) be a doubling metric measure space. We define so called Besov spaces B_{p,q}^α(X). We will show that if a doubling metric measure space (X, d, μ) supports a (1, p)-Poincaré inequality, then the Besov space B_{p,q}^α(X) coincides with the real interpolation space (L_{p}(X), KS_{1,p}(X))_{ α ,q}, where KS_{1,p}(X) is the Sobolev space defined by Korevaar and Schoen . This result is used to prove the imbedding theorems.
dcterms:title
Interpolation properties of Besov spaces defined on metric spaces Interpolation properties of Besov spaces defined on metric spaces
skos:prefLabel
Interpolation properties of Besov spaces defined on metric spaces Interpolation properties of Besov spaces defined on metric spaces
skos:notation
RIV/67985840:_____/10:00339255!RIV10-AV0-67985840
n3:aktivita
n4:P n4:Z
n3:aktivity
P(GA201/05/2033), P(GA201/08/0383), Z(AV0Z10190503)
n3:cisloPeriodika
2
n3:dodaniDat
n9:2010
n3:domaciTvurceVysledku
n15:3570487
n3:druhVysledku
n18:J
n3:duvernostUdaju
n16:S
n3:entitaPredkladatele
n14:predkladatel
n3:idSjednocenehoVysledku
264604
n3:idVysledku
RIV/67985840:_____/10:00339255
n3:jazykVysledku
n7:eng
n3:klicovaSlova
Besov spaces; Sobolev spaces; real interpolation method; K-functional; metric measure space; doubling measure space; embedding theorems
n3:klicoveSlovo
n6:Besov%20spaces n6:metric%20measure%20space n6:K-functional n6:doubling%20measure%20space n6:real%20interpolation%20method n6:Sobolev%20spaces n6:embedding%20theorems
n3:kodStatuVydavatele
DE - Spolková republika Německo
n3:kontrolniKodProRIV
[3C292D8CA743]
n3:nazevZdroje
Mathematische Nachrichten
n3:obor
n5:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:projekt
n10:GA201%2F05%2F2033 n10:GA201%2F08%2F0383
n3:rokUplatneniVysledku
n9:2010
n3:svazekPeriodika
283
n3:tvurceVysledku
Koskela, P. Shanmugalingam, N. Gogatishvili, Amiran
n3:wos
000275649300005
n3:zamer
n17:AV0Z10190503
s:issn
0025-584X
s:numberOfPages
17