Integrability of Green potentials in fractal domains
Integrability of Green potentials in fractal domains
We prove Lq-inequalities for the gradient of the Green potential (Gf) in bounded, connected NTA-domains in Rn, n≥2. These domains may have a highly non-rectifiable boundary and in the plane the set of all bounded simply connected NTA-domains coincides with the set of all quasidiscs. We get a restriction on …