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arXiv · 1702.08190

Multiplier conditions for Boundedness into Hardy spaces

Loukas Grafakos·Shohei Nakamura·Hanh Van Nguyen·Yoshihiro Sawano
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Abstract

In the present work, we find useful and explicit necessary and sufficient conditions for linear and multilinear multiplier operators of Coifman-Meyer type, finite sum of products of Calder\'on-Zygmund operators, and also of intermediate types to be bounded from a product of Lebesgue or Hardy spaces into a Hardy space. These conditions state that the symbols of the multipliers $\sigma(\xi_1,\dots , \xi_m)$ and their derivatives vanish on the hyperplane $\xi_1+\cdots+\xi_m=0$.

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Loukas Grafakos, Shohei Nakamura, Hanh Van Nguyen, Yoshihiro Sawano. 2017-02-27. Multiplier conditions for Boundedness into Hardy spaces. https://arxiv.org/abs/1702.08190

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