Multidimensional Half-Discrete Hilbert-Type Inequalities and Operator Expressions

Bicheng Yang ()
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Bicheng Yang: Guangdong University of Education, Department of Mathematics

A chapter in Mathematics Without Boundaries, 2014, pp 651-724 from Springer

Abstract: Abstract In this chapter, by the use of the methods of weight functions and technique of real analysis, two kinds of multidimensional more accurate half-discrete Hilbert-type inequalities with the best possible constant factors are provided. Equivalent forms and some reverses are obtained. We also consider the related operator expressions with the norms, some particular examples and some corollaries in certain conditions.

Keywords: Half-discrete Hilbert-type inequality; Weight function; Equivalent form; Reverse; Hilbert-type operator (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-1106-6_23

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DOI: 10.1007/978-1-4939-1106-6_23

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