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The norm of a Hilbert's type linear operator T:L2(0,Ã¢ÂˆÂž)Ã¢Â†Â’L2(0,Ã¢ÂˆÂž) is given. As applications, a new generalizations of Hilbert integral inequality, and the result of series analogues are given correspondingly

Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality