A note on weighted norm inequalities for the Hardy-Littlewood maximal operator

Author:

Christ Michael,Fefferman Robert

Abstract

In this note we give an extremely simple proof of the weight norm inequalities for the Hardy-Littlewood maximal operator in R n {{\mathbf {R}}^n} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference5 articles.

1. Weighted norm inequalities for the Hardy maximal function;Muckenhoupt, Benjamin;Trans. Amer. Math. Soc.,1972

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

3. A characterization of a two-weight norm inequality for maximal operators;Sawyer, Eric T.;Studia Math.,1982

4. R. Hunt, D. Kurtz and C. Neugebauer, A note on the equivalence of 𝐴_{𝑝} and Sawyer’s condition for equal weights (to appear).

5. M. Christ, Weighted norm inequalities and Schur’s lemma (preprint).

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