POINTWISE CONVERGENCE OF FOURIER SERIES

By LINDA ROBINSON

TABLE OF CONTENTS 1 HARDY-LITTLEWOOD MAXIMAL FUNCTION 2 FOURIER SERIES 3 HILBERT TRANSFORM 4 THE BASIC STEP 5 MAXIMAL INEQUALITIES 6 GROWTH OF PARTIAL SUMS 7 CARLESON ANALYSIS OF THE FUNCTION 8 ALLOWED PAIRS 9 PAIR INTERCHANGE THEOREMS 10 ALL TOGETHER 11 SPACES OF FUNCTIONS 12 THE MAXIMAL OPERATOR OF FOURIER SERIES 13 FOURIER TRANSFORM ON THE LINE REFERENCES