CBMS Regional Conference Series in Mathematics 1990; 132 pp; softcover Number: 77 ISBN10: 0821807285 ISBN13: 9780821807286 List Price: US$36 Member Price: US$28.80 All Individuals: US$28.80 Order Code: CBMS/77
 This book represents an expanded account of lectures delivered at the NSFCBMS 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 T(1) theorem. The emphasis is on realvariable techniques, with a discussion of analytic capacity in one complex variable included as an application. 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. 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 Table of Contents  Examples and basic theory
 LittlewoodPaley theory
 BMO, Carleson measures and paraproducts
 The T(1) theorem
 Growth estimates
 Spaces of homogeneous type
 Analytic capacity
 Inverses of singular integral operators
