**CBMS Regional Conference Series in Mathematics**

Volume: 77;
1990;
132 pp;
Softcover

MSC: Primary 42;
Secondary 30; 47

Print ISBN: 978-0-8218-0728-6

Product Code: CBMS/77

List Price: $36.00

Individual Price: $28.80

**Electronic ISBN: 978-1-4704-2437-4
Product Code: CBMS/77.E**

List Price: $36.00

Individual Price: $28.80

# Lectures on Singular Integral Operators

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*Michael Christ*

A co-publication of the AMS and CBMS

This book represents an expanded account of lectures delivered
at the NSF-CBMS Regional Conference on Singular Integral Operators, held
at the University of Montana in the summer of 1989. The lectures are
concerned principally with developments in the subject related to the
Cauchy integral on Lipschitz curves and the

The author has presented here a synthesized exposition of a body
of results and techniques. Much of the book is introductory in
character and intended to be accessible to the nonexpert, but a variety
of readers should find the book useful.

#### Table of Contents

# Table of Contents

## Lectures on Singular Integral Operators

- Cover Cover11 free
- Title iii4 free
- Copyright iv5 free
- Contents vii8 free
- Preface ix10 free
- I. Examples and Basic Theory 112 free
- II. Littlewood-Paley Theory 1930
- III. BMO, Carleson Measures and Paraproducts 3445
- IV. The T(1) Theorem 4960
- V. Growth Estimates 7182
- VI. Spaces of Homogeneous Type 8899
- VII. Analytic Capacity and the Cauchy Integral 98109
- VIII. Inverses of Singular Integral Operators 118129
- References 126137
- Back Cover Back Cover1144

#### Reviews

Beautiful little book … Numerous examples spread throughout the text show the breadth of applications which are now encompassed in this theory… amazing the number of topics considered in a monograph of less than 130 pages.

-- Zentralblatt MATH