Sobolev's embedding theorem for a domain with irregular boundary

In Sobolev's embedding theorem, W-p(s)(G) subset of L-q(G), the relations between admissible smoothness parameters and integrability parameters are determined by the geometric properties of the domain G. In the present paper this result and the corresponding estimates of weak type are established for domains with irregular boundaries and in the case of weighted L-p and L-q-spaces.