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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 University Hamilton, 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 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

Information

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

References

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