一个混合核Hilbert型积分不等式及其算子范数表达式

Abstract

Abstract:

By using the method of weight function, the technique of real analysis and the theory of special functions, a Hilbert-type integral inequality with the mixed kernel and its equivalent form are established, the optimality for the constant factors are proved and the operator expressions with norm are given.

Key words: Hilbert-type integral inequality, Weight function, Whittaker function, Mixed kernel, Operator expression

CLC Number:

O178

Qiong Liu,Yindi Liu. A Hilbert-Type Integral Inequality with the Mixed Kernel and Its Operator Expressions with Norm[J].Acta mathematica scientia,Series A, 2020, 40(2): 369-378.

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A Hilbert-Type Integral Inequality with the Mixed Kernel and Its Operator Expressions with Norm

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