SL（2，R）上的一类极大算子的性质

PROPERTY OF ONE CLASS OF MAXIMAL OPERATORS ON SL(2,R)

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摘要本文给出了一类函数Bλ(G//K)={ψ(g)∈L1(G//K)||ψ(g)|≤e-1(g)(1+g(t))-λ,λ＞2}的定义,对f∈Lp(G//K),定义极大算子Mλf(x)=supε＞0ψ∈Bλ(G//K)|ψε*f(x)|,证明了这类算子的弱(1,1)型和强(p,p)型,p＞1.

作者王信松郑维行

机构地区盐城师范学院数学系南京大学数学系

出处《南京大学学报（数学半年刊）》 CAS 2003年第2期269-275,共7页 Journal of Nanjing University(Mathematical Biquarterly)

关键词 SL(2 R) 弱(1 1)型强(p p)型 Hardy—Littlewood极大函数

参考文献7

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南京大学学报（数学半年刊）

2003年第2期

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