A note on the strong maximal function-Reference-Cited by-同舟云学术

A note on the strong maximal function

Published:1983 Issue:4 Volume:88 Page:648-650
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bagby Richard J.

Abstract

Given a nonnegative measurable function f f on R 2 {R^2} which is integrable over sets of finite measure, we construct a new function g g with the same distribution function as f f such that the strong maximal function of g g has the same local integrability properties as its Hardy-Littlewood maximal function.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1983-088-04/S0002-9939-1983-0702293-X/S0002-9939-1983-0702293-X.pdf

Reference4 articles.

1. Maximal functions and rearrangements: some new proofs;Bagby, Richard J.;Indiana Univ. Math. J.,1983

2. On the strong maximal function and Zygmund’s class 𝐿(𝑙𝑜𝑔⁺𝐿)ⁿ;Fava, N. A.;Studia Math.,1980

3. B. Jessen, J. Marcinkiewicz and A. Zygmund, Note on the differentiability of multiple integrals, Fund. Math. 25 (1935), 217-234.

4. Note on the class 𝐿 𝑙𝑜𝑔 𝐿;Stein, E. M.;Studia Math.,1969

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