Geodesic
Weighted Maximal Inequalities for lr - Valued Functions
Canadian mathematical bulletin, Tome 19 (1976) no. 4, pp. 445-453

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C. Feffermann and E. M. Stein [2] have shown that the continuity property of the Hardy-Littlewood maximal functions between L p -spaces, 1 < p < ∞, extends to lr -valued functions on Rn . Specifically, if f = (f 1, f 2,...) is a sequence of functions defined on R n , let for l<∞, |f(x)|r be given by 
Heinig, H. P. Weighted Maximal Inequalities for lr - Valued Functions. Canadian mathematical bulletin, Tome 19 (1976) no. 4, pp. 445-453. doi: 10.4153/CMB-1976-067-3
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     author = {Heinig, H. P.},
     title = {Weighted {Maximal} {Inequalities} for lr - {Valued} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {445--453},
     year = {1976},
     volume = {19},
     number = {4},
     doi = {10.4153/CMB-1976-067-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-067-3/}
}
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