Date of Graduation
7-2015
Document Type
Dissertation
Degree Name
Doctor of Philosophy in Mathematics (PhD)
Degree Level
Graduate
Department
Mathematical Sciences
Advisor/Mentor
Phillip Harrington
Committee Member
Maria Tjani
Second Committee Member
Andrew Raich
Keywords
Pure sciences, Cauchy-Riemann, Stein neighborhood base
Abstract
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).
Citation
Iwaki, C. (2015). Good Stein Neighborhood Bases for Nonsmooth Pseudoconvex Domains. Graduate Theses and Dissertations Retrieved from https://scholarworks.uark.edu/etd/1244