Fourier Spectrum Characterizations of Clifford $H^p$ Spaces on ${\mathbf{R}}_{+}^{n+1}$ for $1\le p\le \infty$

Pei Dang, Weixiong Mai, Tao Qian

This article studies the Fourier spectrum characterization of functions in the Clifford algebra-valued Hardy spaces $H^p({\mathbf{R}}_{+}^{n+1}),1\le p\le \infty .$ Namely, for $f\in…