Principal parts of operators in the dbar-Neumann problem on strictly   pseudoconvex non-smooth domains
  Our main goal is to describe the integral kernel of the dbar-Neumann operator on certain non-smooth domains, the so-called Henkin-Leiterer domains. We do so by explicitly constructing an integral kernel which accounts for the main mapping properties of the operator. We use our calculations to derive $L^p$ estimates. 
Dariush Ehsani and Ingo Lieb
math.CV