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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| Published in | Journal of functional analysis Vol. 275; no. 5; pp. 1280 - 1319 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Inc
01.09.2018
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0022-1236 1096-0783 1096-0783 |
| DOI | 10.1016/j.jfa.2018.05.003 |
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| 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. |
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| AbstractList | We strengthen Holder'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. 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. |
| Author | Stolyarov, D.M. Zatitskiy, P.B. Hedenmalm, H. Vasyunin, V.I. |
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| Cites_doi | 10.1016/j.crma.2015.07.016 10.1215/00127094-2008-044 10.1090/S0002-9947-1936-1501880-4 10.1090/spmj/1390 10.1016/j.crma.2012.06.011 10.1007/BF02589410 10.5802/afst.1535 10.1090/tran/6460 10.1090/memo/1220 10.1007/BF01231769 |
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| Keywords | Sharpening Pythagorean theorem Hölder's inequality |
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| Snippet | 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... We strengthen Holder's inequality. The new family of sharp inequalities we obtain might be thought of as an analog of the Pythagorean theorem for the... |
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| SubjectTerms | Holder's inequality Hölder's inequality Pythagorean theorem Sharpening |
| Title | Sharpening Hölder's inequality |
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