Function Spaces I
7.5 ECTS credits- Decreasing rearrangements of functions
- Lorentz space
- Convolutions
- Riesz potential; Hardy-Littlewood-Sobolev inequality
- Maximal functions
- BMO; the John-Nirenberg theorem
- Geometric inequalities; the Brunn-Minkowski theorem
- Differential properties of decreasing rearrangements
- Sobolev spaces and embedding theorems
- Lorentz space
- Convolutions
- Riesz potential; Hardy-Littlewood-Sobolev inequality
- Maximal functions
- BMO; the John-Nirenberg theorem
- Geometric inequalities; the Brunn-Minkowski theorem
- Differential properties of decreasing rearrangements
- Sobolev spaces and embedding theorems
Progressive specialisation:
A1F (has second‐cycle course/s as entry requirements)
Education level:
Master's level
Admission requirements
Measure and Integration Theory, 7.5 credits, and skills equivalent to at least 75 ECTS credits of mathematics courses at the Bachelor level.
Selection:
Selection is usually based on your grade point average from upper secondary school or the number of credit points from previous university studies, or both.
Course code:
MAAD21
The course is not included in the course offerings for the next period.