Dimitrios Giannakis

Kernel smoothing operators on thick open domains

We study the convergence properties of a general family of normalized Markovian kernels on a domain $$\Omega$$ in the Euclidean space. Based on the notion of a thick set we show that a local Hardy-Littlewood inequality holds in $$L^p(\Omega)$$ , $$p \in (1, \infty]$$ when $$\Omeg...