Real Variable Methods in Fourier Analysis

Real Variable Methods in Fourier Analysis Content: Edited by Page iii Copyright page Page iv Dedication Page v Preface Pages vii-ix Miguel de Guzmán Chapter 1 Pointwise Convergence of a Sequence of Operators Pages 1-12 Chapter 2 Finiteness A.E., and the Type of the Maximal Operator Pages 13-34 Chapter 3 General Techniques for the Study of the Maximal Operator Pages 35-71 Chapter 4 Especial Techniques for Convolution Operators Pages 73-90 Chapter 5 Especial Techniques for the Type (2,2) Pages 91-101 Chapter 6 Coverings, The Hardy-Littlewood Maximal Operator and Differentiation, Some General Theorems Pages 103-157 Chapter 7 The Basis of Intervals Pages 159-198 Chapter 8 The Basis of Rectangles Pages 199-239 Chapter 9 The Geometry of Linearly Measurable Sets Pages 241-280 Chapter 10 Approximations of the Identity Pages 281-304 Chapter 11 Singular Integral Operators Pages 305-336 Chapter 12 Diferentiation Along Curves, A Result of Stein and Wainger Pages 337-357 Chapter 13 Multipliers and the Hardy-Littlewood Maximal Operator Pages 359-378 References Pages 379-387 A List of Suggested Problems Page 389 Index Pages 391-392