A Multilier Theorem on Anisotropic Hardy Spaces

Abstract

We present a multiplier theorem on anisotropic Hardy spaces. When $m$ satisfies the anisotropic, pointwise Mihlin condition, we obtain boundedness of the multiplier operator $T_m:H_A^p({\mathbb{R}}^n)\to H_A^p({\mathbb{R}}^n)$, for the range of $p$ that depends on the eccentricities of the dilation $A$ and the level of regularity of a multiplier symbol $m$. This extends the classical multiplier theorem of Taibleson and Weiss.

References in corpus (1)

• Anisotropic Hardy-Lorentz spaces with variable exponents