A Convolution Inequality

Gavin Brown and Larry Shepp
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Gavin Brown: University of New South Wales, Mathematics Department
Larry Shepp: AT&T Bell Laboratories

Chapter 1 in Contributions to Probability and Statistics, 1989, pp 51-57 from Springer

Abstract: Abstract We establish an elementary convolution inequality which appears to be novel although it extends and complements a famous old result of W.H. Young. In the course of the proof we are led to a simple interpolation result which has applications in measure theory.

Keywords: Measure Theory; Interpolation Result; Simple Interpolation; Integral Analogue; Nonnegative Continuous Function (search for similar items in EconPapers)
Date: 1989
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DOI: 10.1007/978-1-4612-3678-8_4

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