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Characterization of interpolation between Grand, small or classical Lebesgue spaces

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    SYSNO ASEP0496179
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleCharacterization of interpolation between Grand, small or classical Lebesgue spaces
    Author(s) Fiorenza, A. (IT)
    Formica, M. R. (IT)
    Gogatishvili, Amiran (MU-W) RID, ORCID, SAI
    Kopaliani, T. (GE)
    Rakotoson, J. M. (FR)
    Source TitleNonlinear Analysis: Theory, Methods & Applications. - : Elsevier - ISSN 0362-546X
    Roč. 177, December (2018), s. 422-453
    Number of pages32 s.
    Languageeng - English
    CountryGB - United Kingdom
    KeywordsGrand Lebesgue space ; small Lebesgue space ; Lebesgue space ; Lorentz–Zygmund space
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    R&D ProjectsGA13-14743S GA ČR - Czech Science Foundation (CSF)
    Institutional supportMU-W - RVO:67985840
    UT WOS000449073400005
    EID SCOPUS85031734562
    DOI10.1016/j.na.2017.09.005
    AnnotationIn this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are so called Lorentz–Zygmund spaces or more generally GΓ-spaces. As a direct consequence of our results any Lorentz–Zygmund space La,r(Log L)β, is an interpolation space in the sense of Peetre between either two Grand Lebesgue spaces or between two small spaces provided that 1 < a < ∞, β ̸= 0. The method consists in computing the so called K-functional of the interpolation space and in identifying the associated norm.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2019
Number of the records: 1  

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