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Lectures on Singular Integral Operators
 
Michael Christ Mathematical Sciences Research Institute, Berkeley, CA
A co-publication of the AMS and CBMS
Lectures on Singular Integral Operators
Softcover ISBN:  978-0-8218-0728-6
Product Code:  CBMS/77
List Price: $41.00
Individual Price: $32.80
eBook ISBN:  978-1-4704-2437-4
Product Code:  CBMS/77.E
List Price: $38.00
Individual Price: $30.40
Softcover ISBN:  978-0-8218-0728-6
eBook: ISBN:  978-1-4704-2437-4
Product Code:  CBMS/77.B
List Price: $79.00 $60.00
Lectures on Singular Integral Operators
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Lectures on Singular Integral Operators
Michael Christ Mathematical Sciences Research Institute, Berkeley, CA
A co-publication of the AMS and CBMS
Softcover ISBN:  978-0-8218-0728-6
Product Code:  CBMS/77
List Price: $41.00
Individual Price: $32.80
eBook ISBN:  978-1-4704-2437-4
Product Code:  CBMS/77.E
List Price: $38.00
Individual Price: $30.40
Softcover ISBN:  978-0-8218-0728-6
eBook ISBN:  978-1-4704-2437-4
Product Code:  CBMS/77.B
List Price: $79.00 $60.00
  • Book Details
     
     
    CBMS Regional Conference Series in Mathematics
    Volume: 771990; 132 pp
    MSC: Primary 42; Secondary 30; 47;

    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 T(1) theorem. The emphasis is on real-variable 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.

  • Table of Contents
     
     
    • Chapters
    • I. Examples and Basic Theory
    • II. Littlewood-Paley Theory
    • III. BMO, Carleson Measures and Paraproducts
    • IV. The T(l) Theorem
    • V. Growth Estimates
    • VI. Spaces of Homogeneous Type
    • VII. Analytic Capacity and the Cauchy Integral
    • VIII. Inverses of Singular Integral Operators
  • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 771990; 132 pp
MSC: Primary 42; Secondary 30; 47;

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 T(1) theorem. The emphasis is on real-variable 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.

  • Chapters
  • I. Examples and Basic Theory
  • II. Littlewood-Paley Theory
  • III. BMO, Carleson Measures and Paraproducts
  • IV. The T(l) Theorem
  • V. Growth Estimates
  • VI. Spaces of Homogeneous Type
  • VII. Analytic Capacity and the Cauchy Integral
  • VIII. Inverses of Singular Integral Operators
  • 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.