A1 Refereed original research article in a scientific journal

Extrapolation and interpolation in generalized Orlicz spaces



Authors: David Cruz-Uribe, Peter Hästö

Publisher: AMER MATHEMATICAL SOC

Publication year: 2018

Journal: Transactions of the American Mathematical Society

Journal name in source: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Journal acronym: T AM MATH SOC

Volume: 370

Issue: 6

First page : 4323

Last page: 4349

Number of pages: 27

ISSN: 0002-9947

DOI: https://doi.org/10.1090/tran/7155

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/31020732


Abstract
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.

Downloadable publication

This is an electronic reprint of the original article.
This reprint may differ from the original in pagination and typographic detail. Please cite the original version.


Last updated on 2024-26-11 at 22:45