Norm Inequalities for Generalized Laplace Transforms

J. C. Kuang ()
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J. C. Kuang: Hunan Normal University Changsha, Department of Mathematics

A chapter in Trigonometric Sums and Their Applications, 2020, pp 97-117 from Springer

Abstract: Abstract This paper introduced the new generalized Laplace transform. It contains the generalized Stieltjes transform and the Hankel transform etc. The corresponding new operator norm inequalities are obtained.The discrete versions of the main results are also given.As applications,a large number of known and new results have been obtained by proper choice of kernel. They are significant improvement and generalizations of many famous results.

Keywords: Laplace transform; Integral operator; Norm inequality; 47A30 (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-37904-9_5

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DOI: 10.1007/978-3-030-37904-9_5

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