一类Littlewood-Paley算子的弱有界性

赵凯; 孙晓华; 任晓芳

doi:10.7540/j.ynu.20120268

赵凯, 孙晓华, 任晓芳. 一类Littlewood-Paley算子的弱有界性[J]. 云南大学学报(自然科学版), 2014, 36(2): 157-161. doi: 10.7540/j.ynu.20120268

引用本文:

赵凯, 孙晓华, 任晓芳. 一类Littlewood-Paley算子的弱有界性[J]. 云南大学学报(自然科学版), 2014, 36(2): 157-161. doi: 10.7540/j.ynu.20120268

ZHAO Kai, SUN Xiao-hua, REN Xiao-fang. Weak boundedness of some Littlewood-Paley operators[J]. Journal of Yunnan University: Natural Sciences Edition, 2014, 36(2): 157-161. DOI: 10.7540/j.ynu.20120268

Citation:

ZHAO Kai, SUN Xiao-hua, REN Xiao-fang. Weak boundedness of some Littlewood-Paley operators[J]. Journal of Yunnan University: Natural Sciences Edition, 2014, 36(2): 157-161. DOI: 10.7540/j.ynu.20120268

一类Littlewood-Paley算子的弱有界性

Weak boundedness of some Littlewood-Paley operators

摘要

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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