Sharpening Holder's inequality › SPbU Researchers Portal

DOI

https://doi.org/10.1016/j.jfa.2018.05.003
Final published version

H. Hedenmalm
D. M. Stolyarov
V. I. Vasyunin
P. B. Zatitskiy

We strengthen Hölder's inequality. The new family of sharp inequalities we obtain might be thought of as an analog of the Pythagorean theorem for the L^p-spaces. Our treatment of the subject matter is based on Bellman functions of four variables.

Original language	English
Pages (from-to)	1280-1319
Number of pages	40
Journal	Journal of Functional Analysis
Volume	275
Issue number	5
DOIs	https://doi.org/10.1016/j.jfa.2018.05.003
State	Published - 1 Sep 2018

Scopus subject areas

Analysis

Research areas

Hölder's inequality, Pythagorean theorem, Sharpening, BELLMAN FUNCTION, EXTREMAL PROBLEMS, BMO, Holder's inequality

ID: 35958223