Good Stein Neighborhood Bases for Nonsmooth Pseudoconvex Domains

<p>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).</p>

Name thesis:degree_name

Doctor of Philosophy in Mathematics (PhD)

Level thesis:degree_level

Dissertation

Year dc:date.available

2015

Author dc:creator

• Iwaki, Chizuko

Advisor dc:contributor.advisor

• Harrington, Phillip S.

Contributors dc:contributor

• Tjani, Maria
• Raich, Andrew S.

• Pure sciences
• Cauchy-Riemann
• Stein neighborhood base
• Other Applied Mathematics

Repository record dc:identifier

https://scholarworks.uark.edu/etd/1244

OAI identifier oai:identifier

oai:scholarworks.uark.edu:etd-2243