Contents
Preface vi i
Chapter 1. Introductio n 1
Chapter 2 . Wavelet s an d squar e function s 5
Chapter 3 . Interpolatio n o f multilinear operator s 15
Chapter 4 . Paraproduct s 2 3
Chapter 5 . Wav e packets 3
Chapter 6 . Multilinea r form s wit h modulatio n symmetrie s 4
6.1. Th e bilinea r Hilber t transfor m 5
Chapter 7 . Carleson' s Theore m 5 3
Chapter 8 . Th e Wals h mode l 6 3
8.1. Th e quartil e operato r 6 5
8.2. Almos t everywher e convergenc e o f Walsh serie s 6 8
Chapter 9 . Furthe r application s o f wave packet analysi s 7 5
9.1. Maxima l bilinea r operator s 7 5
9.2. Degenerat e an d nearl y degenerat e T 7 7
9.3. Mor e multilinea r operator s 8 0
Bibliography 8 5
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