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Some new results related to Lorentz GΓ-spaces and interpolation

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    0510259 - MÚ 2021 RIV US eng J - Článek v odborném periodiku
    Ahmed, I. - Fiorenza, A. - Formica, M. R. - Gogatishvili, Amiran - Rakotoson, J. M.
    Some new results related to Lorentz GΓ-spaces and interpolation.
    Journal of Mathematical Analysis and Applications. Roč. 483, č. 2 (2020), č. článku 123623. ISSN 0022-247X
    Grant CEP: GA ČR(CZ) GA18-00580S
    Institucionální podpora: RVO:67985840
    Klíčová slova: grand and small Lebesgue spaces * classical Lorentz-spaces * interpolation * very weak solution
    Kód oboru RIV: BA - Obecná matematika
    Obor OECD: Pure mathematics
    Impakt faktor: 1.188, rok: 2018
    https://doi.org/10.1016/j.jmaa.2019.123623

    We compute the K-functional related to some couple of spaces as small or classical Lebesgue space or Lorentz-Marcinkiewicz spaces completing the results of the previous paper. This computation allows to determine the interpolation space in the sense of Peetre for such couple. It happens that the result is always a GΓ-space, since this last space covers many spaces. The motivations of such study are various, among them we wish to obtain a regularity estimate for the so-called very weak solution of a linear equation in a domain Ω with data in the space of the integrable function with respect to the distance function to the boundary of Ω.
    Trvalý link: http://hdl.handle.net/11104/0300775
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