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arXiv · 1708.08846

Sharpening H\"older's inequality

Haakan Hedenmalm·Dmitriy M. Stolyarov·Vasily I. Vasyunin·Pavel B. Zatitskiy
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Abstract

We strengthen H\"older'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.

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Haakan Hedenmalm, Dmitriy M. Stolyarov, Vasily I. Vasyunin, Pavel B. Zatitskiy. 2017-08-29. Sharpening H\"older's inequality. https://arxiv.org/abs/1708.08846

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