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Scholars Journal of Physics, Mathematics and Statistics | Volume-5 | Issue-03
Boundedness of Fractional Integral Operators with Variable Kernels Associate to Variable Exponents
Zhang Zhiming, Zhao Kai
Published: June 30, 2018 | 120 66
DOI: 10.21276/sjpms.2018.5.3.3
Pages: 203-207
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Abstract
Let () satisfy the log-Hölder continuity condition and 1 ()  n . Suppose T, () is the fractional integral operator with variable kernel associate to variable exponent. In this paper, using the properties of weighted Morrey spaces, we prove that T, () is bounded from Lp, ( p,q) to Lp,q p(q). Keywords: fractional integral operator; variable exponent; variable kernel; weighted Morrey space.