Lp bounds for Stein's spherical maximal operators

Naijia Liu, Minxing Shen, Liang Song +1

Let ${\mathfrak{M}}^{\alpha }$ be the spherical maximal operators of complex order $\alpha$ on ${\mathbb{R}}^n$. In this article we show that when $n\ge 2$, suppose \begin{eqnarray*} \|{\frak M}^α f…