A note on Fourier multipliers on the product Hardy spaces

preprint2022arXivOpen access

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(T×T)H^1(\mathbb{T}\times\mathbb{T}) into the space ℓ2\ell^2 and from the space H1(R+2×R+2)H^1(\mathbb{R}_+^2\times\mathbb{R}_+^2) into the space L1L^1.

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