Sharpening H\"older's inequality
Classical Analysis and ODEs
2019-04-01 v2
Abstract
We strengthen H\"older's inequality. The new family of sharp inequalities we obtain might be thought of as an analog of Pythagorean theorem for the spaces. Our reasonings rely upon Bellman functions of four variables.
Cite
@article{arxiv.1708.08846,
title = {Sharpening H\"older's inequality},
author = {Haakan Hedenmalm and Dmitriy M. Stolyarov and Vasily I. Vasyunin and Pavel B. Zatitskiy},
journal= {arXiv preprint arXiv:1708.08846},
year = {2019}
}
Comments
30 pages