Sharpening Hölder's inequality

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.

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Bibliographic Details
Published inJournal of functional analysis Vol. 275; no. 5; pp. 1280 - 1319
Main Authors Hedenmalm, H., Stolyarov, D.M., Vasyunin, V.I., Zatitskiy, P.B.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.09.2018
Subjects
Holder's inequality
Hölder's inequality
Pythagorean theorem
Sharpening
Sharpening
Pythagorean theorem
Hölder's inequality
Online AccessGet full text
ISSN0022-1236
1096-0783
1096-0783
DOI10.1016/j.jfa.2018.05.003

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Summary: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.
ISSN:0022-1236
1096-0783
1096-0783
DOI:10.1016/j.jfa.2018.05.003