联系一些特殊函数的Hilbert型积分不等式及其算子范数表达式

Journal of Jilin University Science Edition ›› 2018, Vol. 56 ›› Issue (6): 1359-1365.

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HilbertType Integral Inequality Related to Some SpecialFunctions and Its Operator Expressions with Norm#br#

LIU Qiong

College of Science, Shaoyang University, Shaoyang 422000, Hunan Province, China

Received:2018-05-07 Online:2018-11-26 Published:2018-11-26

Abstract

Abstract: By using the weight function method, the technique of the real analysis and the related theories of special functions, the author established a Hilberttype integral inequality with multiparameters related to some special functions and its equivalence, proved that its constant factors were optimal, and gave the operator expressions with the norm. 

Key words: Hilberttype integral inequality, weight function, Whittaker function, Hilberttype integral operator, confluent hypergeometric function

CLC Number:

O178

LIU Qiong. HilbertType Integral Inequality Related to Some SpecialFunctions and Its Operator Expressions with Norm#br#[J].Journal of Jilin University Science Edition, 2018, 56(6): 1359-1365.

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HilbertType Integral Inequality Related to Some SpecialFunctions and Its Operator Expressions with Norm#br#

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