2023/06/08 by Ludovick Bouthat, Javad Mashreghi, Bouthat, Ludovick +3
Mathematics · #Advanced Harmonic Analysis Research #Advanced Banach Space Theory #Analytic Number Theory Research
paper · pdf · doi:10.48550/arxiv.2306.05586
The objective of the present paper is to establish three Hardy-type inequalities in which the arithmetic mean over a sequence of non-negative real numbers is replaced by some weighted arithmetic mean over some nested subsets of the given sequence of numbers. One of these inequalities stems from a calculation in a paper of Bouthat and Mashreghi on semi-infinite matrices.