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Weighted Maximal Inequalities for ℓr- Valued Functions

Published online by Cambridge University Press:  20 November 2018

H. P. Heinig
H. P. Heinig*
Affiliation:
McMaster UniversityHamilton, Ontario, Canada
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C. Feffermann and E. M. Stein [2] have shown that the continuity property of the Hardy-Littlewood maximal functions between Lp-spaces, 1 < p < ∞, extends to ℓr-valued functions on ℝn. Specifically, if f = (f1, f2,…) is a sequence of functions defined on Rn, let for l<∞, |f(x)|r be given by

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 19 , Issue 4 , 01 December 1976 , pp. 445 - 453
Copyright
Copyright © Canadian Mathematical Society 1976

References

1. Fefferman, C. and Coifman, R. R.; Weighted Norm Inequalities for Maximal Functions and Singular Integrals, Studia Math. 51 (1974) pp. 241–250.Google Scholar
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5. Muckenhoupt, B., Weighted Norm Inequalities for the Hardy Maximal Function, Trans. Amer. Math. Soc. 165 (1972) pp. 207–226.Google Scholar
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