A self-contained proof of the strong-type capacitary inequality for the Dirichlet space
Omar El-Fallah, Karim Kellay, Javad Mashreghi, Thomas Ransford · CRM proceedings & lecture notes · 2012
In this expository article, we give a self-contained proof of the strong-type capacitary inequality for functions in the Dirichlet space. We also show that such functions possess boundary limits in exponentially tangential approach regions at almost every point on the unit circle.