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arXiv · 1912.08023

A multi-parameter Hardy type inequality

Eskil Rydhe
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Abstract

This note contains two simple observations. First, by the weak factorization of product $H^1$ (Ferguson--Lacey, Lacey--Terwilleger), we obtain a multi-parameter analogue of Hardy's inequality. Second, as a dual statement, the Fourier transform of an essentially bounded function belongs to a certain product $\mathrm{BMO}$-Sobolev space.

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Eskil Rydhe. 2019-12-17. A multi-parameter Hardy type inequality. https://arxiv.org/abs/1912.08023

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