Weighted sobolev inequalities and harmonic measure ssociated with quasiregular functions
Bernt Øksendal · Communications in Partial Differential Equations · 1990
A weightd Sobolev inequality in Rnof the form is established, J⊘ being the Jacobian determinant of a quasirgular function⊘ on bounded domain This is used to prove the existence of the harmonic measure of the diffusions Xt associated to⊘. As an application a new result about boundary values of quasiregular funcion is proved.