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20 April 2024

» arxiv » 1708.8846

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A sharpening of Holder inequality
Haakan Hedenmalm ; Dmitriy M. Stolyarov ; Vasily I. Vasyunin ; Pavel B. Zatitskiy ;
Date:	29 Aug 2017
Abstract:	We strengthen Holder’s inequality. The new family of sharp inequalities we obtain might be thought of as an analog of Pythagorean theorem for the $L^p$ spaces. Our reasonings rely upon Bellman functions of four variables.
Source:	arXiv, 1708.8846
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