A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Extrapolation and interpolation in generalized Orlicz spaces
Tekijät: David Cruz-Uribe, Peter Hästö
Kustantaja: AMER MATHEMATICAL SOC
Julkaisuvuosi: 2018
Journal: Transactions of the American Mathematical Society
Tietokannassa oleva lehden nimi: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Lehden akronyymi: T AM MATH SOC
Vuosikerta: 370
Numero: 6
Aloitussivu: 4323
Lopetussivu: 4349
Sivujen määrä: 27
ISSN: 0002-9947
DOI: https://doi.org/10.1090/tran/7155
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/31020732
We prove versions of the Rubio de Francia extrapolation theorem in generalized Orlicz spaces. As a consequence, we obtain boundedness results for several classical operators as well as a Sobolev inequality in this setting. We also study complex interpolation in the same setting and use it to derive a compact embedding theorem. Our results include as special cases classical Lebesgue and Sobolev space estimates and their variable exponent and double phase growth analogs.
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