arXiv Analytics

Sign in

arXiv:1405.6229 [math.CA]AbstractReferencesReviewsResources

Bellman VS Beurling: sharp estimates of uniform convexity for $L^p$ spaces

Paata Ivanisvili, Dmitriy M. Stolyarov, Pavel B. Zatitskiy

Published 2014-05-23Version 1

We obtain the classical Hanner inequalities by the Bellman function method. These inequalities give sharp estimates for the moduli of convexity of Lebesgue spaces. Easy ideas from differential geometry help us to find the Bellman function using neither "magic guesses" nor calculations.

Comments: 11 pages
Categories: math.CA, math.DG, math.FA
Related articles: Most relevant | Search more
arXiv:1402.1145 [math.CA] (Published 2014-02-05, updated 2015-07-27)
On a problem by Steklov
arXiv:1107.1885 [math.CA] (Published 2011-07-10)
Sharp estimates involving $A_\infty$ and $LlogL$ constants, and their applications to PDE
arXiv:2304.02816 [math.CA] (Published 2023-04-06)
Small cap square function estimates

Links

Toolbox