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《Numerical Mathematics A Journal of Chinese Universities》 2018-02
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BOUNDEDNESS OF THE FRACTIONAL INTEGRAL OPERATOR WITH VARIABLE KERNELS ON HERZ-TYPE HARDY SPACES

Liu Chen;Xu Yonghua;Yao Yongming;Department of Philosophy, Nanjing University;Tongda College of NUPT;  
Let T_(Ω,μ) be fractional integral operator with variable kernel Ω, we establish the boundedness of T_(Ω,α)(0 α n) from HK~(α,p_1)_q_1(R~n) to K~(α,p_2)_q2(R~n) by strengthening the condition of kernel and making use of the atomic decomposition technique on Herz-type Hardy spaces.
【CateGory Index】: O177
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