1. INTRODUCTIO N 5 I a m ver y gratefu l t o Xavie r Tols a fo r severa l valuabl e discussions , whic h helpe d to understan d bette r th e multidimensiona l case . I a m gratefu l t o Mar k Melniko v for hi s precis e an d wonderfu l question s concernin g wha t ha s becom e th e theor y o f nonhomogeneous Calder6n-Zygmun d operators . Th e mathematic s behin d th e res t of thes e lecture s i s du e primaril y t o th e grou p NTV . I wa s prou d t o collaborat e with Fedo r Nazaro v (N ) an d Serge i Trei l (T) , an d I a m ver y gratefu l t o the m for thi s excitin g opportunity . Th e Departmen t o f Mathematic s o f th e Michiga n State Universit y mad e thi s clos e collaboratio n possible . I owe my gratitud e t o th e Department. Finally , m y dee p thank s t o th e Cente r o f Mathematica l Researc h o f the Universit y Autonom a d e Barcelon a an d t o Equip e d'Analys e o f the Universit e Paris VI , where thes e note s wer e partially prepared .
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