一个实齐次核的Hilbert型积分不等式

J4 ›› 2009, Vol. 47 ›› Issue (05): 887-892.

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A Hilberttype Integral Inequality with HomogeneousKernel of Real Numberdegree

YANG Bi-Cheng

Department of Mathematics, Guangdong Education Institute, Guangzhou 510303, China

Received:2009-02-03 Online:2009-09-26 Published:2009-11-03
Contact: YANG Bi-Cheng E-mail:bcyang@pub.guangzhou.gd.cn.

Abstract

Abstract:

Introducing the weight function and using the way of real analysis, the author gave a new Hilberttype integral inequality with the homogeneous kernel of real numberdegree with three independent parameters and two pairs of conjugate exponents, which is a best extension of a Hilberttype integral inequality with the homogeneous kernel of 0-degree. The equivalent form, the reverses and some particular results were studied.

Key words: Hilberttype integral inequality, weight function, kernel, conjugate exponent

CLC Number:

O178

YANG Bi-Cheng. A Hilberttype Integral Inequality with HomogeneousKernel of Real Numberdegree[J].J4, 2009, 47(05): 887-892.

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A Hilberttype Integral Inequality with HomogeneousKernel of Real Numberdegree

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