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Removable Sets and Analytic Capacity

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Vitushkin’s Conjecture for Removable Sets

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Abstract

For now and forevermore, let K be a compact subset of the complex plane ℂ.This will be restated for emphasis many times in what follows but just as often will be tacitly assumed and not mentioned.

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Referneces

  1. L. Zalcman, Analytic capacity and rational approximation, Lecture Notes in Math., Vol. 50, Springer-Verlag (1968). (Section 1.2)

  2. A. G. Vitushkin, Analytic capacity of sets and problems in approximation theory, Russian Math. Surveys, Vol. 22 (1967), 139–200. (Sections 1.2, 6.6, and Postscript)

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  7. S. Fisher, On Schwarz’s lemma and inner functions, Trans. Amer. Math. Soc., Vol. 138 (1969), 229–240. (Section 1.2)

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  8. J. Garnett, Analytic capacity and measure, Lecture Notes in Math., Vol. 297, Springer-Verlag (1972). (Preface and Sections 1.2, 2.4, and 3.1)

  9. W. Rudin, Real and Complex Analysis, 3rd Edition, McGraw-Hill Book Company (1987). (Preface and Many Sections)

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Author information

Authors and Affiliations

  1. Lyman Briggs College, Michigan State University, East Lansing, MI, 48825, USA

    James J. Dudziak

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  1. James J. Dudziak
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Correspondence to James J. Dudziak .

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Dudziak, J.J. (2010). Removable Sets and Analytic Capacity. In: Vitushkin’s Conjecture for Removable Sets. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6709-1_1

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