一类Littlewood-Paley算子的弱有界性

Weak boundedness of some Littlewood-Paley operators

  • 摘要: 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*函数算子在Herz空间中的弱有界性结果.

     

    Abstract: 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 g* function operators in the Herz spaces is obtained.

     

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