具有粗糙核的分数次积分算子在加权Morrey空间上的有界性

王华

数学学报 ›› 2013, Vol. 56 ›› Issue (2) : 175-186.

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数学学报 ›› 2013, Vol. 56 ›› Issue (2) : 175-186. DOI: 10.12386/A2013sxxb0018
论文

具有粗糙核的分数次积分算子在加权Morrey空间上的有界性

    王华
作者信息 +

Boundedness of Fractional Integral Operators with Rough Kernels on Weighted Morrey Spaces

    Hua WANG
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文章历史 +

摘要

设0<α<n,MΩ,α和TΩ,α是具有粗糙核的分数次极大函数和分数次积分算子,其中Ω∈Ls(Sn-1)且1<s≤∞.本文将研究MΩ,α和TΩ,α在加权Morrey空间Lp,κ(w)上的有界性质. 同时我们还得到了由BMO(Rn)函数b(x)和这些算子所生成的交换子在加权Morrey空间Lp,κ(w)上的有界性.

Abstract

Let MΩ,α and TΩ,α be the fractional maximal and integral operators with rough kernels, where 0<α<n. In this paper, we shall study the continuity properties of MΩ,α and TΩ,α on the weighted Morrey spaces Lp,κ(w). The boundedness of their commutators with BMO functions is also obtained.

关键词

分数次积分算子 / 粗糙核 / 加权Morrey空间 / 交换子

Key words

Fractional integral operators / rough kernels / weighted Morrey spaces / commutator

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王华. 具有粗糙核的分数次积分算子在加权Morrey空间上的有界性. 数学学报, 2013, 56(2): 175-186 https://doi.org/10.12386/A2013sxxb0018
Hua WANG. Boundedness of Fractional Integral Operators with Rough Kernels on Weighted Morrey Spaces. Acta Mathematica Sinica, Chinese Series, 2013, 56(2): 175-186 https://doi.org/10.12386/A2013sxxb0018

参考文献

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