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摘要: |
本文运用了变指标和~$Lipschitz$~范数的相关性质, 得到了多线性分数次积分算子~$T_{\Omega,\mu}^{A}$~及其极大算子~$M_{\Omega,\mu}^{A}$~在变指标~$Herz$~ 空间和变指标~$Herz-Morrey$~ 空间上的有界性. |
关键词: 粗糙核 多线性分数次积分算子 多线性分数次极大算子 变指标Herz空间 变指标Herz-Morrey空间 |
DOI: |
分类号:O174.2 |
基金项目: |
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BOUNDEDNESS OF FRACTIONAL MULTILINEAR SINGULAR INTEGRAL AND MAXIMAL OPERATOR ON VARIABLE EXPONENT HERZ SPACES |
zhang jing
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Abstract: |
This paper is additionally obtain the boundedness of fractional multilinear singular integral $T_{\Omega,\mu}^{A}$ and maximal Operator $M_{\Omega,\mu}^{A}$ on variable exponent Herz spaces and variable exponent Herz-Morrey spaces applying some properties of variable exponent and ~$Lipschitz$~norms. |
Key words: Fractional multilinear singular integral Fractional multilinear maximal Operator Variable Exponent Herz Spaces Variable Exponent Herz-Morrey Spaces |