Date of Graduation
Doctor of Philosophy in Mathematics (PhD)
Second Committee Member
Pure sciences, Cauchy-Riemann, Stein neighborhood base
In 1979, Dufresnoy showed that the existence of a good Stein neighborhood base for Ω ⊂ℂⁿ implies that one can solve the inhomogeneous Cauchy-Riemann equations in C^∞(Ω̄), even if the boundary of Ω is only Lipschitz. In my thesis, I will show sufficient conditions for the existence of a good Stein neighborhood base on a Lipschitz domain satisfying Property (P).
Iwaki, C. (2015). Good Stein Neighborhood Bases for Nonsmooth Pseudoconvex Domains. Theses and Dissertations Retrieved from https://scholarworks.uark.edu/etd/1244