Lecture notes on dyadic harmonic analysis (Q2776612)

These lecture notes are an excellent survey of real-variable harmonic analysis, specifically Calderón-Zygmund theory and weighted inequalities. Particular emphasis is given on explaining key techniques such as stopping time arguments. One nice feature is that the author works primarily in the dyadic setting, in which the theory is much cleaner and transparent, but also gives further remarks on the continuous case. There is also a wealth of historical and motivating material. Of particular interest is the author's exposition of the use of Bellman functions in proving weighted inequalities; the presentation here is more accessible than the landmark papers of Nazarov, Treil, and Volberg. The notes are pleasant to read and they are an excellent introduction to the field.NEWLINENEWLINEFor the entire collection see [Zbl 0977.00018].