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

Voir la notice de l'article provenant de la source Cambridge University Press

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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[1] 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

[2] 2. Fefferman, C., Coifman, R. R. and Stein, E. M., Some Maximal Inequalities, Amer. J. Math. (1971) pp. 107–115. Google Scholar

[3] 3. Heinig, H. P., Some Extensions of Hardy’s Inequality, SIAM J. Math. Anal. 6, No. 4 (1975) pp. 698–713. Google Scholar

[4] 4. Hewitt, E. and Stromberg, K., Real and Abstract Analysis, Springer Verl. N.Y. 1965. Google Scholar

[5] 5. Muckenhoupt, B., Weighted Norm Inequalities for the Hardy Maximal Function, Trans. Amer. Math. Soc. 165 (1972) pp. 207–226. Google Scholar

[6] 6. Muckenhoupt, B., Hardy’s Inequality with Weights, Studia Math. 44 (1972) pp. 31–38. Google Scholar

[7] 7. Muckenhoupt, B., The Equivalence of Two Conditions for Weighted Functions, Studia Math. 49 (1974) pp. 101–106. Google Scholar

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