SOME SHARP FUNCTION ESTIMATES FOR VECTOR-VALUED MULTILINEAR INTEGRAL OPERATOR

被引：1

作者：

Zhou, Xiaosha ^{[1
]}

机构：

[1] Changsha Univ Sci & Technol, Coll Math, Changsha 410077, Hunan, Peoples R China

来源：

MISKOLC MATHEMATICAL NOTES | 2013年 / 14卷 / 01期

关键词：

vector-valued multilinear operator; Littlewood-Paley operator; Marcinkiewicz operator; Bochner-Riesz operator; Sharp estimate; BMO; COMMUTATORS;

D O I：

10.18514/MMN.2013.624

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish some sharp estimates for certain vector-valued multilinear integral operators. The operators include Littlewood-Paley operators, Marcinkiewicz operators and the Bochner-Riesz operator. As an application, we obtain the (L-p ,L-q)-norm inequality for the vector-valued multilinear operators.

引用

页码：373 / 387

页数：15

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