WEIGHTED LITTLEWOOD-PALEY THEORY AND EXPONENTIAL-SQUARE INTEGRABILITY

By JENNIFER LEWIS

1 SOME ASSUMPTIONS 2 AN ELEMENTARY INTRODUCTION 3 EXPONENTIAL SQUARE 4 MANY DIMENSIONS; SMOOTHING 5 THE CALDERON REPRODUCING FORMULA I 6 THE CALDERON REPRODUCING FORMULA II 7 THE CALDERON REPRODUCING FORMULA III 8 SCHRODINGER OPERATORS 9 SOME SINGULAR INTEGRALS 10 ORLICZ SPACES 11 GOODBYE TO GOOD-? 12 A FOURIER MULTIPLIER THEOREM 13 VECTOR-VALUED INEQUALITIES 14 RANDOM POINTWISE ERRORS