多线性Hausdorff算子的Sharp估计

高贵连, 樊云

数学学报 ›› 2015, Vol. 58 ›› Issue (1) : 153-160.

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数学学报 ›› 2015, Vol. 58 ›› Issue (1) : 153-160. DOI: 10.12386/A2015sxxb0016
论文

多线性Hausdorff算子的Sharp估计

    高贵连1, 樊云2
作者信息 +

Sharp Bounds for Multilinear Hausdorff Operators

    Gui Lian GAO1, Yun FAN2
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摘要

给出了当核为非负函数时,多线性Hausdorff算子分别在Lebesgue空间以及λ-中心Morrey空间有界的必要条件,同时计算出它们的算子范数.

Abstract

We give the necessary conditions of boundedness of multilinear Hausdorff operators on Lebesgue spaces and λ-central Morrey spaces, respectively, when the kernel functions are nonnegative. Meanwhile, the corresponding operator norms are worked out.

关键词

多线性Hausdorff算子 / 多线性Hardy算子 / Lebesgue空间 / &lambda / -中心Morrey空间

Key words

multilinear Hausdorff operators / multilinear Hardy operators / Lebesgue spaces / λ-central Morrey spaces

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高贵连, 樊云. 多线性Hausdorff算子的Sharp估计. 数学学报, 2015, 58(1): 153-160 https://doi.org/10.12386/A2015sxxb0016
Gui Lian GAO, Yun FAN. Sharp Bounds for Multilinear Hausdorff Operators. Acta Mathematica Sinica, Chinese Series, 2015, 58(1): 153-160 https://doi.org/10.12386/A2015sxxb0016

参考文献

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基金

国家自然科学基金资助项目(11271330);浙江省博士后科研项目择优资助(BSH1302046)

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