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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F08%3A00100928%21RIV09-MSM-11320___
rdf:type
n13:Vysledek skos:Concept
dcterms:description
Let $U$ be a bounded open set of the Euclidean space $\er^d$ and let $\Hu(U)$ denote the space of all real--valued continuous functions on $\ov{U}$ that are harmonic on $U$. We present a sufficient condition on the set $\parr U$ of all regular points of $U$ that ensures that $\Hu(U)$ is complemented in $\C(\ov{U})$. We also present examples showing that this condition is not necessary. Let $U$ be a bounded open set of the Euclidean space $\er^d$ and let $\Hu(U)$ denote the space of all real--valued continuous functions on $\ov{U}$ that are harmonic on $U$. We present a sufficient condition on the set $\parr U$ of all regular points of $U$ that ensures that $\Hu(U)$ is complemented in $\C(\ov{U})$. We also present examples showing that this condition is not necessary. Je zkoumána komplementovatelnost prostorů harmonických funkcí.
dcterms:title
Complementability of spaces of harmonic functions Complementability of spaces of harmonic functions Komplementovatelnost prostorů harmonických funkcí
skos:prefLabel
Komplementovatelnost prostorů harmonických funkcí Complementability of spaces of harmonic functions Complementability of spaces of harmonic functions
skos:notation
RIV/00216208:11320/08:00100928!RIV09-MSM-11320___
n3:aktivita
n18:P n18:Z
n3:aktivity
P(GA201/06/0018), Z(MSM0021620839)
n3:cisloPeriodika
3
n3:dodaniDat
n7:2009
n3:domaciTvurceVysledku
n19:3116085
n3:druhVysledku
n16:J
n3:duvernostUdaju
n4:S
n3:entitaPredkladatele
n15:predkladatel
n3:idSjednocenehoVysledku
360758
n3:idVysledku
RIV/00216208:11320/08:00100928
n3:jazykVysledku
n14:eng
n3:klicovaSlova
Complementability; spaces; harmonic; functions
n3:klicoveSlovo
n10:harmonic n10:functions n10:spaces n10:Complementability
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[3408033FC305]
n3:nazevZdroje
Potential Analysis
n3:obor
n8:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n17:GA201%2F06%2F0018
n3:rokUplatneniVysledku
n7:2008
n3:svazekPeriodika
29
n3:tvurceVysledku
Spurný, Jiří
n3:wos
000259921300003
n3:zamer
n12:MSM0021620839
s:issn
0926-2601
s:numberOfPages
32
n11:organizacniJednotka
11320