Email this article Embeddings between grand, small, and variable Lebesgue spaces
- Authors: Cruz-Uribe D.1, Fiorenza A.2,3, Guzmán O.M.4
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Affiliations:
- University of Alabama at Tuscaloosa
- Universitá degli Studi di Napoli Federico II
- Istituto per le Applicazioni del Calcolo “Mauro Picone,” Sezione di Napoli
- Universidad Nacional de Colombia
- Issue: Vol 102, No 5-6 (2017)
- Pages: 677-686
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150261
- DOI: https://doi.org/10.1134/S0001434617110074
- ID: 150261
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Abstract
We give conditions on the exponent function p( · ) that imply the existence of embeddings between the grand, small, and variable Lebesgue spaces. We construct examples to show that our results are close to optimal. Our work extends recent results by the second author, Rakotoson and Sbordone.
About the authors
D. Cruz-Uribe
University of Alabama at Tuscaloosa
Author for correspondence.
Email: dcruzuribe@ua.edu
United States, Tuscaloosa
A. Fiorenza
Universitá degli Studi di Napoli Federico II; Istituto per le Applicazioni del Calcolo “Mauro Picone,” Sezione di Napoli
Email: dcruzuribe@ua.edu
Italy, Naples; Naples
O. M. Guzmán
Universidad Nacional de Colombia
Email: dcruzuribe@ua.edu
Colombia, Bogotá
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