Kernel Smoothing Operators on Thick Open Domains

Dimitrios Giannakis, Mohammad Javad Latifi Jebelli

We define the notion of a thick open set $\Omega$ in a Euclidean space and show that a local Hardy-Littlewood inequality holds in $L^p(\Omega )$, $p\in (1,\infty ]$. We then establish pointw…