SHARP INEQUALITIES FOR THE VARIATION OF THE DISCRETE MAXIMAL FUNCTION
نویسندگان
چکیده
منابع مشابه
Sharp Weighted Inequalities for the Vector–valued Maximal Function
We prove in this paper some sharp weighted inequalities for the vector–valued maximal function Mq of Fefferman and Stein defined by Mqf(x) = ( ∞ ∑ i=1 (Mfi(x)) q )1/q , where M is the Hardy–Littlewood maximal function. As a consequence we derive the main result establishing that in the range 1 < q < p < ∞ there exists a constant C such that ∫ Rn Mqf(x) p w(x)dx ≤ C ∫ Rn |f(x)|qM [ p q ]+1 w(x)d...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2016
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972716000903