Characterization of functions with zero traces via the distance function and Lorentz spaces

Aleš Nekvinda, Hana Turčinová

Consider a regular domain $\Omega \subset {\mathbb{R}}^N$ and let $d(x)=\mathrm{dist}(x,\partial \Omega )$. Denote $L_a^{1,\infty }(\Omega )$ the space of functions from $L^{1,\infty }(\Omega )$ having a…