Office Hours: Tuesday/Thursday 11:00am - 12:00pm or by appointment.
Class Meeting Time: TTH 9:35am - 10:55am
Lecture Location: Skiles 169
Course Content: Math 8813 is an introduction to analytic function theory on the unit disc. Topics covered include: Hardy spaces on the disc, Besov-Sobolev spaces on the disc, interpolation theorems, Corona Theorems, and Carleson measures. Other topics that will be studied time permitting will include Sobolev spaces, bilinear forms on these spaces of functions, and factorization results.
Prerequisites for the course are Math 4320, Math 6337, and Math 6338.
A syllabus for the course is available the first day, and then here.
Textbook: The textbook will be course notes handed out to the students.
Parts of the material to be covered can be found in:
"Bounded Analytic Functions" by Garnett;
"Theory of Hp Spaces" by Duren;
"Spaces of Holomorphic Functions in the Unit Ball" by Zhu;
"Bergman Spaces" by Duren and Schuster;
"Theory of Bergman Spaces" by Korenblum, Hedenmalm, and Zhu.
Additional material will be taken from other sources such as books or papers in the literature.
Attendance: Attendance is required for all lectures. The student who misses a class meeting is responsible for any assignments and/or announcements made. Office hours will not be utilized to re-teach material presented in class.
There will be no opportunities for make-up tests after the fact. In the event of an absence due to travel representing Georgia Tech, such as an intercollegiate sports competition, you must notify the professor at least two weeks in advance to arrange an early test or other alternative. Otherwise, such absences will be treated as personal.
Homework: This course will have daily homework assignments which should be done before the next class. Homework will not be collected, but will help with the quizzes and exams.
Learning Disabilities: It is the right of any student with a certified learning disability to request necessary accommodation. Such requests must be made well in advance of the time that the accommodation is required and a letter of documentation from the ADAPTS office must be presented at the time of any request.
Academic Honesty: It is expected that all students are aware of their individual responsibilities under the Georgia Tech Academic Honor Code, which will be strictly adhered to in this class.