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Characterization of interpolation between Grand, small or classical Lebesgue spaces
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SYSNO ASEP 0496179 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Characterization 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 Title Nonlinear Analysis: Theory, Methods & Applications. - : Elsevier - ISSN 0362-546X
Roč. 177, December (2018), s. 422-453Number of pages 32 s. Language eng - English Country GB - United Kingdom Keywords Grand Lebesgue space ; small Lebesgue space ; Lebesgue space ; Lorentz–Zygmund space Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA13-14743S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000449073400005 EID SCOPUS 85031734562 DOI 10.1016/j.na.2017.09.005 Annotation In 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2019
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