Date of Graduation
12-2018
Document Type
Dissertation
Degree Name
Doctor of Philosophy in Mathematics (PhD)
Degree Level
Graduate
Department
Mathematical Sciences
Advisor/Mentor
Harrington, Phillip S.
Committee Member
Luecking, Daniel H.
Second Committee Member
Raich, Andrew S.
Abstract
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.
Citation
Abdulsahib, M. A. (2018). Hartogs Domains and the Diederich-Fornæss Index. Graduate Theses and Dissertations Retrieved from https://scholarworks.uark.edu/etd/3008
