Let be a -Hölder continuous function on the closure of a bounded domain with fractal boundary . We estimate the Besov norm of the restriction of to by the -norm of dist for an adequate . We apply it to the boundedness of operators related to the double layer potentials on the Besov spaces on .
Hisako WATANABE. "Estimates of the Besov norms on the fractal boundary and applications." J. Math. Soc. Japan 55 (3) 565 - 589, July, 2003. https://doi.org/10.2969/jmsj/1191418990