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THE BOUNDEDNESS FOR A CLASS OF ROUGH FRACTIONAL INTEGRAL OPERATORS ON VARIABLE EXPONENT LEBESGUE SPACES 被引量:2

THE BOUNDEDNESS FOR A CLASS OF ROUGH FRACTIONAL INTEGRAL OPERATORS ON VARIABLE EXPONENT LEBESGUE SPACES
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摘要 In this paper, we will discuss the behavior of a class of rough fractional integral operators on variable exponent Lebesgue spaces,and establish their boundedness from Lp1 (') (Rn) to Lp2() (Rn). In this paper, we will discuss the behavior of a class of rough fractional integral operators on variable exponent Lebesgue spaces,and establish their boundedness from Lp1 (') (Rn) to Lp2() (Rn).
机构地区 Lishui University
出处 《Analysis in Theory and Applications》 2012年第3期286-293,共8页 分析理论与应用(英文刊)
基金 Supported by the NSF of Zhejiang Province (Y6090681) the Education Dept.of Zhejiang Province(Y201120509)
关键词 fractional integral rough kernel variable exponent Lebesgue space fractional integral, rough kernel, variable exponent Lebesgue space
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