34686 - Fundamentals of Advanced Analysis 2

Academic Year 2010/2011

  • Docente: Bruno Franchi
  • Credits: 6
  • SSD: MAT/05
  • Language: Italian
  • Teaching Mode: Traditional lectures
  • Campus: Bologna
  • Corso: Second cycle degree programme (LM) in Mathematics (cod. 8208)

Course contents

The program will be decided jointly with students, keeping also in account their curriculum. Tentatively, the main subjects will be: L^p, Holder and Sobolev spaces, and their duals. Maximal function and singular integrals of potential type. BV spaces, perimeter and isoperimetric inequality

Readings/Bibliography

Different texts will be suggest depending on the different subjects that will be treated.

Teaching methods

Lectures at the blackboard

Assessment methods

Oral exam. The student can also give a seminar on advanced subjects related to content of the lectures.

Office hours

See the website of Bruno Franchi