National Tsing Hua University
Math 5131 - Real Analysis II
Homework Problems

• Problems with asterisks * will be collected and graded. Assignments will be collected every Wednesday, unless announced otherwise.

2/22:   Exercises 1.1, 1.2, 1.3*, 1.4* on Chapter 8 of Lecture Notes

2/24:   Exercises 2.1, 2.2*, 2.3*, 2.4 on Chapter 8 of Lecture Notes

3/7:   Exercises 3.1, 3.2, 3.3*, 3.4* on Chapter 8 of Lecture Notes

3/9:   Exercises 3.5, 3.6*, 3.7*, 3.8, 3.9 on Chapter 8 of Lecture Notes

3/14:   Exercises 4.1, 4.2 on Chapter 8 of Lecture Notes

3/16:   Exercises 4.3, 4.4*, 4.5*, 4.6 on Chapter 8 of Lecture Notes

3/16:   Exercises 5.1, 5.2*, 5.3* on Chapter 8 of Lecture Notes

3/23:   Exercises 6.1, 6.2, 6.3*, 6.4*, 6.5 on Chapter 8 of Lecture Notes

3/28:   Chap 4, Exercise 3, 5, Problem 1*

3/30:   Chap 4, Exercise 7, 8, 9*

4/11:   Chap 4, Exercise 11*, 12, 13*, 18, 22*

4/13:   Chap 4, Exercise 19, 20*, 21, 23*, Verify properties of Poisson kernel mentioned in classes.

4/18:   Chap 4, Exercise 16, 17, 30*

4/20:   Chap 5, Exercise 1*,   Chap 6, Exercise 1, 2*

4/25:   Chap 6, Exercise 3*, Problem 1

4/27:   Chap 6, *two exercises assigned in class

5/2:   Chap 6, Prove theorems in section 6.2 (imitate the Lebesgue theory)

5/4:   Chap 6, Exercise 13*, 14*, 15, Prove Prop 6.1.6 (textbook page 273)

5/9:   Chap 6, Exercise 12, 16*

5/11:   Chap 6, Exercise 5*, Problem 3

5/16-6/8:   Chap 7, Reading assignment: Section 1, Subsection 2.1. Homework assignment: Exercise 1, 4, 5, 7, 8, 9, 10

6/13:   Chap 6, Exercise 8, 9, 10

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