A note on Fourier multipliers on the product Hardy spaces

2022/06/10 by Aleksander Pawlewicz, Pawlewicz, Aleksander
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Holomorphic and Operator Theory #math.FA

paper · pdf · doi:10.48550/arxiv.2206.04931

13 pages

arxiv created 2022/06/10 · arxiv updated 2022/06/13

Abstract

In this article, we present some results about Fourier multipliers on Hardy spaces in the product case. We mainly give descriptions of multipliers from the space H¹(\mathbbT×\mathbbT) into the space ℓ² and from the space H¹(ℝ₊²×ℝ₊²) into the space L¹.

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