Riesz--Fejér type Inequalities for $\hat{I}\pm$-Harmonic Functions in the Unit Ball

Qianyun Li, Shufang Luo, Zhihao Xu

In this paper, we establish Riesz--Fejér type inequalities for the $\hat{I}\pm$-harmonic functions $f=P_{\hat{I}}\pm [f^{\ast }]$ in ${\mathbb{B}}^n$, where $f^{\ast }\in L^p({\mathbb{S}}^{n-1})$ and $1<p<\infty$.…