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 b etween admissible smoothness parameters and integrability parameters are de termined by the geometric properties of the domain G. In the present paper this result and the corresponding estimates of weak type are established fo r domains with irregular boundaries and in the case of weighted L-p and L-q -spaces.