Mathematical Analysis Elective 1 - NMMA498

• Title: Výběrová přednáška Matematická analýza 1
• Guaranteed by: Department of Mathematical Analysis (32-KMA)
• Faculty: Faculty of Mathematics and Physics
• Actual: from 2024
• Semester: winter
• E-Credits: 3
• Hours per week, examination: winter s.:2/0, Ex [HT]
• Capacity: unlimited
• Min. number of students: unlimited
• 4EU+: no
• Virtual mobility / capacity: no
• State of the course: taught
• Language: English
• Teaching methods: full-time
• Note: you can enroll for the course repeatedly
• Guarantor: Stefanos Lappas, Ph.D.
• Teacher(s): Stefanos Lappas, Ph.D.
• Class: M Mgr. MA; M Mgr. MA > Volitelné
• Classification: Mathematics > Real and Complex Analysis

Annotation

English

Topics in harmonic analysis. An elective course for master and graduate students.

Last update: Pyrih Pavel, doc. RNDr., CSc. (10.05.2024)

Czech

Vybraná témata z harmonické analýzy. Výběrová přednáška pro magisterské studenty a doktorandy.

Last update: Pyrih Pavel, doc. RNDr., CSc. (10.05.2024)

Course completion requirements

Zkouška je ústní a dotazována budou témata probíraná na přednášce.

Last update: Vybíral Jan, doc. RNDr. Dr. rer. nat., Ph.D. (05.10.2018)

Syllabus

English

1) BMO and H^1 Hardy space,

2) singular integral operators on L^{\infinity} and BMO,

3) John-Nirenberg inequality,

4) Interpolation and BMO,

5) commutators of singular integrals,

6) sparse domination and A_2 Theorem,

7) paraproducts (if time permits).

Last update: Kalenda Ondřej, prof. RNDr., Ph.D., DSc. (15.05.2024)