Course home page
This is a home page for a course on harmonic analysis.
Topics
- Hardy-Littlewood maximal function
- Calderon-Zygmund decomposition
- Functions of bounded mean oscillation (BMO)
- Marcinkiewicz interpolation theorem
- Muckenhoupt weights
- Singular integrals of Calderon-Zygmund type
The learning objective of the course is to get to know modern methods in harmonic analysis. The are many challenging research topics for master's and doctoral theses. Prerequisites: Participants are expected to take MS-E1281 Measure and integral before attending this course. MS-E1281 Real analysis is also recommended.
Course practices: This is interactive distance learning course and it consists meetings with the instructor, homework assignments and group meetings. The course will be run online and the meetings will be held in Zoom. Links to the meetings will be send to the participants through MyCourses. Participants are expected to study the course material and solve the homework assignment according to the schedule. There is a possibility to discuss the course material and homework assignments in the online meetings.
Grading: There is no final exam. The grading is based on homework assignments and attendance.
Solved homework assignments Grade
90% 5
80% 4
70% 3
60% 2
50% 1
Instructor: Juha Kinnunen
Course assistant: Julian Weigt
Schedule
Mon 20 April at 10-12 (Zoom): Meeting with the instructor. Pages 1-20 of the lecture notes.
Thu 23 April at 10-12 (Zoom): Group meeting
Mon 27 April at 10-12 (Zoom): Meeting with the instructor. Pages 21-39 of the lecture notes.
Thu 30 April at 10-12 (Zoom): Group meeting
Mon 4 May at 10-12 (Zoom): Meeting with the instructor. Pages 39-57 of the lecture notes.
Thu 7 May at 10-12 (Zoom): Group meeting
Mon 11 May at 10-12 (Zoom): Group meeting
Thu 14 May at 10-12 (Zoom): Meeting with the instructor. Pages 58-74 of the lecture notes.
Mon 18 May at 14-16 (Zoom): Meeting with the instructor. Pages 74-90 of the lecture notes.
Thu 21 May at 13-15 (Zoom): Group meeting
Mon 25 May at 13-15 (Zoom): Group meeting
Thu 28 May at 10-12 (Zoom): Meeting with the instructor. Pages 91-102 of the lecture notes.