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Hilbert-type integral inequality with the homogeneous kernel of O-degree
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Through using the way of weight function, we give a new Hilbert-type integral inequality with two independent parameters and two pair of conjugate exponents, which is a best extension of a Hilbert-type integral inequality with the homogeneous kernel of O-degree. The equivalent form, the reverses and some particular results are considered.
Hilbert-type integral inequalityweight functionkernelconjugate exponent
YANG Bi-cheng
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Department of Mathematics, Guangzhou Education Institute, Guangdong 510303, P. R. China
Natural Science Foundation of the Institutions of Higher Learning of Guangdong ProvinceNatural Science Foundation of Guangdong Province
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