Complementability of spaces of harmonic functions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F08%3A00100928" target="_blank" >RIV/00216208:11320/08:00100928 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Complementability of spaces of harmonic functions

Original language 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.

Czech name

Komplementovatelnost prostorů harmonických funkcí

Czech description

Je zkoumána komplementovatelnost prostorů harmonických funkcí.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F06%2F0018" target="_blank" >GA201/06/0018: Topological structures in functional analysis</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2008

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Potential Analysis

ISSN

0926-2601

e-ISSN

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Volume of the periodical

29

Issue of the periodical within the volume

3

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

32

Pages from-to

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UT code for WoS article

000259921300003

EID of the result in the Scopus database

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