A note on rearrangement Poincaré inequalities and the doubling condition
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- by Joaquim Martín and Walter A. Ortiz;
- Proc. Amer. Math. Soc. 152 (2024), 3437-3449
- DOI: https://doi.org/10.1090/proc/16795
- Published electronically: June 12, 2024
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Abstract:
We introduce Poincaré-type inequalities based on rearrangement invariant spaces in the setting of metric measure spaces and analyze when they imply the doubling condition on the underline measure.References
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Bibliographic Information
- Joaquim Martín
- Affiliation: Department of Mathematics, Universitat Autònoma de Barcelona, Spain
- ORCID: 0000-0002-7467-787X
- Email: Joaquin.Martin@uab.cat
- Walter A. Ortiz
- Affiliation: Department of Mathematics, Universitat Autònoma de Barcelona, Spain
- MR Author ID: 1333906
- ORCID: 0000-0002-8617-3919
- Email: WalterAndres.Ortiz@uab.cat
- Received by editor(s): May 22, 2023
- Received by editor(s) in revised form: October 18, 2023, January 15, 2024, and January 18, 2024
- Published electronically: June 12, 2024
- Additional Notes: The first author was partially supported by Grants PID2020-113048GB-I00 and PID2020-114167GB-I00 funded both by MCIN/AEI/10.13039/501100011033 and Grant 2021-SGR-00071 (AGAUR, Generalitat de Catalunya)
The second author was partially supported by Grant 2021-SGR-00071 (AGAUR, Generalitat de Catalunya) - Communicated by: Nageswari Shanmugalingam
- © Copyright 2024 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 152 (2024), 3437-3449
- MSC (2020): Primary 46E35, 46E30, 30L99
- DOI: https://doi.org/10.1090/proc/16795
- MathSciNet review: 4767274