一类具有非齐次核的Hilbert型积分不等式成立的充要条件及其应用

Journal of Jilin University Science Edition

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Necessary and Sufficient Condition for a Class of HilbertType IntegralInequality with a Nonhomogeneous Kernel and Its Application

HONG Yong, WEN Yamin

College of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, China

Received:2017-08-09 Online:2018-03-26 Published:2018-03-27
Contact: HONG Yong E-mail:hongyonggdcc@yeah.net

Abstract

Abstract: By means of methods and techniques of real analysis, we discussed the necessary and sufficient condition and the best constant factor for a class of Hilberttype integral inequality with a nonhomoeneous kernel K(x,y)=G(x^λ₁y^λ₂), and studied its application in the operator theory.

Key words: nonhomoeneous kernel, the best constant factor, norm of operator, bounded linear operator, Hilberttype integral inequality, necessary and sufficient condition

CLC Number:

O178

HONG Yong, WEN Yamin. Necessary and Sufficient Condition for a Class of HilbertType IntegralInequality with a Nonhomogeneous Kernel and Its Application[J].Journal of Jilin University Science Edition, 2018, 56(2): 227-232.

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Necessary and Sufficient Condition for a Class of HilbertType IntegralInequality with a Nonhomogeneous Kernel and Its Application

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