Hartogs Domains and the Diederich-Fornæss Index

<p>The Diederich-Fornss Index has played a crucial role in studying regularity of the Bergman projection on pseudoconvex domains in Sobolov spaces as is shown by Kohn, Harrington, Pinton and Zampieri and others. In this work, we discuss the Diederich-Fornss Index on Hartogs domains, and its relation to other properties connected to regularity of the Bergman projection. An upper and lower bound for the Diederich-Fornss Index is calculated for Hartogs domains and computed sharply for worm domains. Related conditions for the existence of a strong Stein neighborhood basis for Hartogs domains are introduced.</p>

Name thesis:degree_name

Doctor of Philosophy in Mathematics (PhD)

Level thesis:degree_level

Dissertation

Year dc:date.available

2018

Author dc:creator

• Abdulsahib, Muhenned Abdulameer

Advisor dc:contributor.advisor

• Harrington, Phillip S.

Contributors dc:contributor

• Luecking, Daniel H.
• Raich, Andrew S.

• Mathematics

Repository record dc:identifier

https://scholarworks.uark.edu/etd/3008

OAI identifier oai:identifier

oai:scholarworks.uark.edu:etd-4561