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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F09%3A00207384%21RIV10-GA0-11320___
rdf:type
skos:Concept n18:Vysledek
dcterms:description
Let us consider two spaces of harmonic functions. First, the space H(U) of functions harmonic on a bounded open subset U of Rn and continuous to the boundary. Second, the space H0(K) of functions on a compact subset K of Rn which can be harmonically extended on some open neighbourhood of K. A bounded open subset U of Rn is called stable if the space H(U) is equal to the uniform closure of H0(cl(U)). In the paper we discussed whether the stability of U is a necessary condition for the equality of systems of functions which are pointwise limits of the spaces H(U) and H0(cl(U)). Let us consider two spaces of harmonic functions. First, the space H(U) of functions harmonic on a bounded open subset U of Rn and continuous to the boundary. Second, the space H0(K) of functions on a compact subset K of Rn which can be harmonically extended on some open neighbourhood of K. A bounded open subset U of Rn is called stable if the space H(U) is equal to the uniform closure of H0(cl(U)). In the paper we discussed whether the stability of U is a necessary condition for the equality of systems of functions which are pointwise limits of the spaces H(U) and H0(cl(U)).
dcterms:title
On Baire and Harmonic Functions On Baire and Harmonic Functions
skos:prefLabel
On Baire and Harmonic Functions On Baire and Harmonic Functions
skos:notation
RIV/00216208:11320/09:00207384!RIV10-GA0-11320___
n3:aktivita
n11:P
n3:aktivity
P(GA201/07/0388)
n3:dodaniDat
n10:2010
n3:domaciTvurceVysledku
n17:3839419
n3:druhVysledku
n16:D
n3:duvernostUdaju
n9:S
n3:entitaPredkladatele
n15:predkladatel
n3:idSjednocenehoVysledku
331333
n3:idVysledku
RIV/00216208:11320/09:00207384
n3:jazykVysledku
n13:eng
n3:klicovaSlova
Baire; Harmonic; Functions
n3:klicoveSlovo
n7:Harmonic n7:Functions n7:Baire
n3:kontrolniKodProRIV
[B4E425AF8C34]
n3:mistoKonaniAkce
Praha
n3:mistoVydani
Praha
n3:nazevZdroje
WDS'09 Proceedings of Contributed Papers: Part I: Mathematics and Computer Sciences
n3:obor
n12:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n19:GA201%2F07%2F0388
n3:rokUplatneniVysledku
n10:2009
n3:tvurceVysledku
Pošta, Petr
n3:typAkce
n4:WRD
n3:zahajeniAkce
2009-01-01+01:00
s:numberOfPages
5
n21:hasPublisher
Matfyzpress
n14:isbn
978-80-7378-101-9
n20:organizacniJednotka
11320