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" Analytic capacity, the Cauchy transform, and non-homogeneous Calderón-Zygmund theory / "
Xavier Tolsa.
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BL
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| Record Number
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603897
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| Doc. No
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GBB3B4335b433116
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| Main Entry
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Tolsa, Xavier
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| Title & Author
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Analytic capacity, the Cauchy transform, and non-homogeneous Calderón-Zygmund theory /\ Xavier Tolsa.
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| Series Statement
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Progress in mathematics,; volume 307
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| Page. NO
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xiii, 396 pages :: illustrations ;; 24 cm.
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| ISBN
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3319005952
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: 9783319005959
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| Bibliographies/Indexes
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Includes bibliographical references (pages 381-392) and index.
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| Contents
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Introduction -- Basic notation -- Analytic capacity -- Calderón-Zygmund theory with non-doubling measures -- The Cauchy transform and Menger curvature -- The capacity [gamma]+ -- A Tb theorem of Nazarov, Treil and Volberg -- The comparability between [gamma] and [gamma] + -- Curvature and rectifiability -- Principal values for the Cauchy transform -- RBMO([mu]) and H1 atb([mu]).
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| Abstract
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This book studies some of the groundbreaking advances that have been made regarding analytic capacity and its relationship to rectifiability. It provides a unified approach to the material and simplified proofs.
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| Subject
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Analytic functions.
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| Subject
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Cauchy transform.
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Calderón-Zygmund operator.
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| Dewey Classification
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515.9
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| LC Classification
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QA331.T565 2014
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