Characterization of interpolation between Grand, small or classical Lebesgue spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00496179" target="_blank" >RIV/67985840:_____/18:00496179 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.na.2017.09.005" target="_blank" >http://dx.doi.org/10.1016/j.na.2017.09.005</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2017.09.005" target="_blank" >10.1016/j.na.2017.09.005</a>

Result language
angličtina
Original language name
Characterization of interpolation between Grand, small or classical Lebesgue spaces
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA13-14743S" target="_blank" >GA13-14743S: Function spaces, weighted inequalities and interpolation II</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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