WebHardy-Littlewood-Po´lya inequality are also included. 1. Introduction The Hardy-Littlewood-Po´lya theorem of majorization is an important result in convex analysis that … WebTheorem 0.2. (Hardy-Littlewood-Sobolev) If p > 1 and α = n(1 − 1 q + 1 p), then kTαfkq. kfkp. PApart from our previous examples, the next simplest example would be f := j χB j where Bj are some balls. It is easy to treat nonoverlapping balls, but rather difficult in overlapping cases. So, it might be helpful to know about the geometry of ...
Hardy–Littlewood Tauberian theorem - Wikipedia
WebWe study the Hardy inequality and derive the maximal theorem of Hardy and Littlewood in the context of grand Lebesgue spaces, considered when the underlying measure space is the interval (0; 1) R, … Expand WebMar 15, 2024 · Sobolev’s theorem consists of three aspects, that is, Sobolev’s inequality, Trudinger’s inequality and continuity. Let G be a bounded open set in \textbf {R}^N. For a … dug hrvatsko zdravstvo
Hardy-Littlewood theorem - Encyclopedia of Mathematics
WebJohn Edensor Littlewood FRS (Rochester (Kent), 9 de junho de 1885 — Cambridge, 6 de setembro de 1977) foi um matemático inglês.Na sua carreira teve longa colaboração com Godfrey Harold Hardy.. Vida. Littlewood frequentou a St Paul's School em Londres, onde foi aluno de Francis Sowerby Macaulay, conhecido por suas contribuições à teoria do … WebNov 28, 2014 · There is a direct and self-contained proof of HLS inequality in Analysis by Lieb and Loss, Theorem 4.3.It uses nothing but layer cake representation, Hölder's … WebSep 1, 2016 · The Hardy–Littlewood–Sobolev theorem for Riesz potential generated by Gegenbauer operator @article{Ibrahimov2016TheHT, title={The Hardy–Littlewood–Sobolev theorem for Riesz potential generated by Gegenbauer operator}, author={Elman J. Ibrahimov and Ali Akbulut}, journal={Transactions of A. … dugic tomislav doo saranovo