Weighted norm inequalities for the Hardy-Littlewood maximal operator on spaces of homogeneous type
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- by Hugo Aimar and Roberto A. Macías PDF
- Proc. Amer. Math. Soc. 91 (1984), 213-216 Request permission
Abstract:
The purpose of this note is to give an adequate Calderón-Zygmund type lemma in order to extend to the general setting of spaces of homogeneous type the ${A_p}$ weighted ${L^p}$ boundedness for the Hardy-Littlewood maximal operator given by M. Christ and R. Fefferman.References
- Michael Christ and Robert Fefferman, A note on weighted norm inequalities for the Hardy-Littlewood maximal operator, Proc. Amer. Math. Soc. 87 (1983), no. 3, 447–448. MR 684636, DOI 10.1090/S0002-9939-1983-0684636-9
- A.-P. Calderón, Inequalities for the maximal function relative to a metric, Studia Math. 57 (1976), no. 3, 297–306. MR 442579, DOI 10.4064/sm-57-3-297-306 R. Macías and C. Segovia, A well-behaved quasi-distance for spaces of homogeneous type, Trabajos de Matemática, Vol. 32, Inst. Argentino Mat., 1981, pp. 1-18.
- Ronald R. Coifman and Guido Weiss, Analyse harmonique non-commutative sur certains espaces homogènes, Lecture Notes in Mathematics, Vol. 242, Springer-Verlag, Berlin-New York, 1971 (French). Étude de certaines intégrales singulières. MR 0499948
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 213-216
- MSC: Primary 42B25
- DOI: https://doi.org/10.1090/S0002-9939-1984-0740173-5
- MathSciNet review: 740173