A class of multipliers from $L^1({\mathbb{R}}^n)$ to the Hardy space $H^1({\mathbb{R}}^n)$

Abstract

In this note, we show a condition on the derivatives of a multiplier $m\in L^{\infty }$ that guarantees that $m$ is a multiplier from $L^1({\mathbb{R}}^n)$ to the Hardy Space $H^1({\mathbb{R}}^n)$.