Covering lemmas and the sharp function-Reference-Cited by-同舟云学术

Covering lemmas and the sharp function

Published:1985 Issue:2 Volume:93 Page:291-296
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bagby Richard J.,Kurtz Douglas S.

Abstract

We present some new measure-theoretic inequalities for families of cubes covering open sets in R n {{\mathbf {R}}^n} and use these inequalities to estimate the Hardy-Littlewood maximal function M f Mf in terms of the sharp function f # {f^\# } .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1985-093-02/S0002-9939-1985-0770539-X/S0002-9939-1985-0770539-X.pdf

Reference8 articles.

1. R. J. Bagby and D. S. Kurtz, A rearranged good 𝜆 inequality, preprint.

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3. Weak-type inequalities for 𝐻^{𝑝} and BMO;Bennett, Colin,1979

4. Weighted norm inequalities for maximal functions and singular integrals;Coifman, R. R.;Studia Math.,1974

5. 𝐻^{𝑝} spaces of several variables;Fefferman, C.;Acta Math.,1972

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