IUMJ

Title: Principal parts of operators in the $\bar{\partial}$-Neumann problem on strictly pseudoconvex non-smooth domains

Authors: Dariush Ehsani and Ingo Lieb

Issue: Volume 61 (2012), Issue 2, 795-830

Abstract:

Working on Henkin-Leiterer domains, we describe the integral kernels of operators $N_q$, $\bar{\partial}N_q$, and $\bar{\partial}^{\ast}N_q$, which arise in the $\bar{\partial}$-Neumann problem. Explicit integral kernels which account for the main mapping properties of the operators are constructed, and weighted $L^p$ estimates are given.