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By using the way of weight functions and the technic of real analysis, a multiple Hilbert-type integral operator with the homogeneous kernel of &#x2212;&#x03BB;-degree (&#x03BB;&#x2208;R) and its norm are considered. As for applications, two equivalent inequalities with the best constant factors, the reverses, and some particular norms are obtained

On a Multiple Hilbert-Type Integral Operator and Applications