A characterisation of the Besov-Lipschitz and Triebel-Lizorkin spaces using Poisson like kernels

Huy-Qui Bui, Timothy Candy

We give a complete characterisation of the spaces ${\dot{B}}_{p,q}^{\alpha }$ and ${\dot{F}}_{p,q}^{\alpha }$ by using a non-smooth kernel satisfying near minimal conditions. The tools used include a…