Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896603 | Journal of Functional Analysis | 2018 | 40 Pages |
Abstract
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 Lp-spaces. Our treatment of the subject matter is based on Bellman functions of four variables.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
H. Hedenmalm, D.M. Stolyarov, V.I. Vasyunin, P.B. Zatitskiy,