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| 摘要: |
| 本文研究了多线性分数次积分算子在变指数空间的有界性.利用多线性分数次积分转化为相对应的分数次积分的方法，获得了它从变指数强和弱Lebesgue空间到变指数Lipschitz空间的有界性，推广了先前的研究结果. |
| 关键词: Lipschitz空间 多线性分数次积分 变指数 |
| DOI： |
| 分类号:O174.2 |
| 基金项目:Supported by National Natural Science Foundation of China (11201003; 11301006); and University NSR Project of Anhui Province (KJ2015A117; KJ2014A087). |
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| LIPSCHITZ TYPE SMOOTHNESS OF MULTILINEAR FRACTIONAL INTEGRAL ON VARIABLE EXPONENTS SPACES |
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SUN Ai-wen,WANG Min,SHU Li-sheng
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| Abstract: |
| In this paper,we study the boundedness of multilinear fractional integral operators on variable exponent spaces.It is obtained that these operators are both bounded from strong and weak Lebesgue spaces with variable exponent spaces into Lipschitz type spaces with variable exponent,which gives some new results for previous published papers.A simple way is obtained that is colsely linked with a class of fractional integral operator. |
| Key words: Lipschitz spaces multilinear fractional integral variable exponent |
