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Real Variable Methods in Fourier Analysis

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Author(s): Miguel de Guzmán (Eds.)
Series: North-Holland Mathematics Studies 46
Edition: 1st
Publisher: Elsevier, Academic Press
Year: 1981

Language: English
Pages: iii-ix, 1-392

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