Instructor: Piotr Hajlasz
Office: 420 Thackeray Hall
Email: hajlasz@pitt.edu
Office hours: You can stop at my office at any time or make an appointment.
The course is based on these notes. I will keep updaing them.
Old notes in Harmonic Analysis
These notes contain some material that has not been included in New Harmonic Analysis Notes yet, but do not worry, as the course will progress I will update the notes.
Homework 100%. You do not have to solve all problems, but I expect that you will solve many problems in every problem set. If you need time extension, write to me and we can discuss it.
Lecture 1 (1/10/2022) (Explanation of basic notation).
Lecture 2 (1/10/2022) (Hardy-Littlewood theorem about the maximal function).
Lecture 3 (1/12/2022) (Hardy-Littlewood-Sobolev/Fractional Integration theorem).
Lecture 4 (1/12/2022) (Lebesgue differentiation theorem).
Lecture 5 (1/19/2022) (Zygmund's and Saks' theorems).
Lecture 6 (1/19/2022) (Calderon-Zygmund decomposition).
Homework has to be written in LaTeX and submitted through Canvas.
LaTeX file HW#1 (pdf) January 31, Canvas.
LaTeX file HW#2 (pdf) March 6, Canvas.
LaTeX file HW#3 (pdf) March 20, Canvas.
LaTeX file HW#4 (pdf) March 27, Canvas.
LaTeX file HW#5 (pdf) May 2, Canvas. This is take-home exam.