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A Hilbert-Type Inequality with Some Parameters and the Integral in Whole Plane 被引量:11

A Hilbert-Type Inequality with Some Parameters and the Integral in Whole Plane
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摘要 In this paper, by introducing some parameters and estimating the weight coefficient, we give a new Hilbert’s inequality with the integral in whole plane and with a non-homogeneous and the equivalent form is given as well. The best constant factor is calculated by the way of Complex Analysis. In this paper, by introducing some parameters and estimating the weight coefficient, we give a new Hilbert’s inequality with the integral in whole plane and with a non-homogeneous and the equivalent form is given as well. The best constant factor is calculated by the way of Complex Analysis.
机构地区 不详
出处 《Advances in Pure Mathematics》 2011年第3期84-89,共6页 理论数学进展(英文)
关键词 Hilbert-Type INTEGRAL INEQUALITY WEIGHT Function Holder’s INEQUALITY Hilbert-Type Integral Inequality Weight Function Holder’s Inequality
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