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On Baire and Harmonic Functions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F09%3A00207384" target="_blank" >RIV/00216208:11320/09:00207384 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Baire and Harmonic Functions

  • Original language 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 systemsof functions which are pointwise limits of the spaces H(U) and H0(cl(U)).

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F07%2F0388" target="_blank" >GA201/07/0388: Modern methods in potential theory and function spaces</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2009

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    WDS'09 Proceedings of Contributed Papers: Part I: Mathematics and Computer Sciences

  • ISBN

    978-80-7378-101-9

  • ISSN

  • e-ISSN

  • Number of pages

    5

  • Pages from-to

  • Publisher name

    Matfyzpress

  • Place of publication

    Praha

  • Event location

    Praha

  • Event date

    Jan 1, 2009

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article