一类Littlewood-Paley算子的弱有界性

Weak boundedness of some Littlewood-Paley operators

作为Littlewood-Paley理论的充实,利用Herz空间的分解理论,借助于Littlewood-Paley函数的正则性条件,以及不等式估计,得到了Littlewood-Paley g*λ函数算子在Herz空间中的弱有界性结果.

As the enrichment of the Littlewood- Paley theory, by using the decomposition of Herz spaces and means of regularity conditions of the Littlewood - Paley functions, and the estimates of inequalities, the weak boundedness of the Littlewood - Paley gλ^＊ function operators in the Herz spaces is obtained.