Correction: L^p bounds for Stein’s spherical maximal operators

Mathematische Annalen

https://doi.org/10.1007/s00208-024-02884-y

In this article, equation 2.7 incorrectly updated as

$$\left \| \mathop{sup}_{t > 0} | \widehat{m_\alpha} (tD)\varphi (t|D|))f \left \| \right \| _{L^p(\mathbb{R}^n)} + || \mathop{sup}_{t > 0} || \varepsilon (t|D|)f| \right \| _{L^p(\mathbb{R}^n)} \leq C\left \| f \right \| _{L^p(\mathbb{R}^n)}.$$

(2.7)

which should have been as

$$\left \| \mathop{sup}_{t > 0} | \widehat{m_\alpha} (tD) \varphi (t|D|))f |\right \| _{L^p(\mathbb{R}^n)} + \left \| \mathop{sup}_{t > 0} | \varepsilon (t|D|)f| \right \| _{L^p(\mathbb{R}^n)} \leq C\left \| f \right \| _{L^p(\mathbb{R}^n)}.$$

(2.7)

The original article has been corrected.