东北数学(英文版)
東北數學(英文版)
동북수학(영문판)
NORTHEASTERN MATHEMATICAL JOURNAL
2003年
1期
33-38
,共6页
SL(2%R)%Hardy-Littlewood maximal function%bi-invariant function
In this paper, we give the following dominated theorem: Let φ(g) ∈L1(G//K), φε(t)= 1/ε sh t/ε/sht φ(t/ε), ε＞ 0, and the least radical decreasing dominated y≥t≥0on (0, ∞), then for any f ∈ L1 loc(G//K), the following inequality holds:sup |φε* f(x)|≤Cmf(x),ε＞0where mf(x) is the Hardy-Littlewood maximal function of f, and C=‖φ‖1.An application of this dominated theorem is also given.
