THE BOUNDEDNESS FOR A CLASS OF ROUGH FRACTIONAL INTEGRAL OPERATORS ON VARIABLE EXPONENT LEBESGUE SPACES |
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| Authors: | Huiling Wu & Jiacheng Lan |
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| Affiliation: | Huiling Wu and Jiacheng Lan (Lishui University,China) |
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| Abstract: | 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 $L^{p_1(cdot)}(mathbf{R}^n)$to $L^{p_2(cdot)}(mathbf{R}^n)$. |
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| Keywords: | fractional integral rough kernel variable exponent Lebesgue space |
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