Math 650

Office Hours: Tu 2:30-4pm, Thur: 2:30-4pm, and by appointment.

734-764-6898, sijue@umich.edu

Office: 4064 East Hall.


Weekly Schedule:
Week 1-3: Fourier series, Fourier transform, distributions. Chap. 1 of Duoandikoetxea, Chap. 1 of Stein & Weiss.
Problems: Homework set 1 (Due Jan. 25 )
Week 4: Maximal functions, interpolations. Chap. 2 of Duoandikoetxea, Chap. 1 of Stein.
Week 5: The dyadic Maximal functions, Hilbert transform. Chap. 2, 3 of Duoandikoetxea, Chap. 1 of Journe.
Problems: Homework set 2 (Due Feb. 8 )
Week 6,7: Singular integral operators, BMO. Chap. 4, 5, of Duoandikoetxea, Chap. 3 of Journe, Chapter 1,4 of Stein
Problems: Homework set 3 (Due Feb. 22 )
Week 8, 9: BMO, Hardy space H^1, duality and interpolations, chap. 4 of Stein, Sec. 5.1 of Stein & Weiss, Chap. 6, of Duoandikoetxea, Chap. 3 of Journe
Problems: Homework set 4 (Due Mar. 22 )
Week 10: Nontangential max. function, Carleson measures and BMO, chap. 2, sec. 2 and chap. 4, sec. 4 of Stein.
Week 11: Littlewood-Paley decomposition and its applications Lec.21 Lec.22
Problems: Homework set 5 (Due April 10 )
Week 12-14: T1 Theorem and its applications, paper of David & Journe

Syllabus