Article contents
A Multiplier Theorem on Anisotropic Hardy Spaces
Published online by Cambridge University Press: 20 November 2018
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.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2018
References
- 3
- Cited by