A note on decreasing rearrangement and mean oscillation on measure spaces-Reference-Cited by-同舟云学术

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A note on decreasing rearrangement and mean oscillation on measure spaces

Published:2021-07-16 Issue:10 Volume:149 Page:4341-4354
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Burchard Almut,Dafni Galia,Gibara Ryan

Abstract

We derive bounds on the mean oscillation of the decreasing rearrangement f ∗ f^* on R + \mathbb {R}_+ in terms of the mean oscillation of f f on a suitable measure space X X . In the special case of a doubling metric measure space, the bound depends only on the doubling constant.

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2021-149-10/S0002-9939-2021-15505-6/proc15505_AM.pdf

Reference29 articles.

1. Weak 𝐿^{∞} and 𝐵𝑀𝑂 in metric spaces;Aalto, Daniel;Boll. Unione Mat. Ital. (9),2012

2. Weak-𝐿^{∞} and BMO;Bennett, Colin;Ann. of Math. (2),1981

3. Pure and Applied Mathematics;Bennett, Colin,1988

4. EMS Tracts in Mathematics;Björn, Anders,2011

5. Almut Burchard, Galia Dafni, and Ryan Gibara, Mean oscillation bounds on rearrangements, Submitted.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Mean oscillation bounds on rearrangements;Transactions of the American Mathematical Society;2022-03-17

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