### Week 1 Monday: Topic - Muckenhoupt weights 1

Sources: Chapter 4 of Kinnunen's notes

1_1: Muckenhoupt A_p weights: Introduction and derivation of the A_p-conditions (36 min)

1_2: Proper definition of A_p spaces and properties (33 min)

1_3: A Lemma + A_p weights induce doubling measures (18 min)
### Week 1 Wednesday: Topic - Muckenhoupt weights 2

Sources: Starting from Kinnunen Chapter 4.3

2_1: Weak-type characterization of A_p (29 min)

2_2: Strong-type characterization of A_p (41 min)
### Week 2 Monday: Topic - Muckenhoupt weights 3

Sources: Kinnunen Chapter 4.5

3_1: The A_infinity class and the proof of the doubling property for it (30 min)

3_2: A key technical lemma and its proof (58 min)
### Week 2 Wednesday: Topic - Muckenhoupt weights 4

Sources: Kinnunen, the rest of Chapter 4 after 4.5.

4_1: A theorem about the relationship between A_p, A_infinity, and reverse Hölder inequalities (23 min)

4_2: Parts (2) => (3) and (3) => (1) of the above theorem (17 min)

4_3: Self-improvement of A_p classes (13 min)

4_4: Another self-improvement result (13 min)

4_5: Strong-type characterization revisited (17 min)
### Week 3 Monday: Topic - Muckenhoupt weights 4

5_1: The A_infinity characteristic (27 min)

5_2: A characterization of A_1 by Coifman and Rochberg (39 min) (Note: Parts of this already proven in exercise set 2)
### Week 3 Wednesday: Topic - Muckenhoupt weights 5

6_1: The Jones factorization for A_p (30 min)

6_2: Characterization of BMO with respect to A_p (26 min)

6_3: The Maximal operator on BMO (25 min)
### Week 4 Monday: Topic - Hilbert transform 1

Sources: Mainly Duoandikoetxea Chapter 3

7_1: Soft introduction to Singular integrals (20 min)

7_2: Connection with a Harmonic boundary value problem (31 min)

7_3: L^2 theory of the Hilbert transform: Fourier approach (36 min)
### Week 4 Wednesday: Topic - Hilbert transform 2

Sources: Mainly Duoandikoetxea Chapter 3

8_1: L^2 theory of the Hilbert transform: Conjugate function approach (23 min)

8_2: L^1 theory of the Hilbert transform (34 min)

8_3: L^p theory of the Hilbert transform (15 min)
### Easter bonus week: Topic - Hilbert transform 3

Sources: Duoandikoetxea

9_1: Almost everywhere convergence of truncated Hilbert transforms, boundedness of the maximal Hilbert transform (67 min)
### Week 6 Monday: Topic - Singular integrals 1

Sources: Duoandikoetxea

10_1: Homogeneous singular integrals, L^2 multiplier calculation (37 min)

10_2: L^p theory, The case of odd kernels (23 min)

10_3: L^p theory, The case of even kernels (24 min)
### Week 6 Wednesday: Topic - Singular integrals 2

11_1: Calderón-Zygmund operators, L^p boundedness (40 min)

11_2: The T1 theorem statement, boundedness of CZO from L^\infty to BMO (32 min)
### Week 7 Monday: Topic - Singular integrals 3

Sources: Duoandikoetxea

12_1: Hardy space H^1 -> L^1 bounds for CZO's (26 min)

12_2: CZO boundedness in weighted L^p spaces, initial estimate (21 min)

12_3: CZO boundedness in weighted L^p spaces, proof (26 min)
### Week 7 Wednesday: Topic - Singular integrals 4

Sources: Duoandikoetxea

Coifman, Rochberg, Weiss: Factorization Theorems for Hardy Spaces in Several Variables

Uchiyama: On the compactness of operators of Hankel type

13_1: Weighted weak-type (1,1) estimate for CZO's (25 min)

13_2: Boundedness of commutators with BMO functions (14 min)

13_3: Compactness of commutators with VMO functions (43 min)
### Vappu final week: Topic - Singular integrals 5

14_1: Strong and weak type bounds for maximal singular integrals (67 min) (Final lecture)