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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Analytic capacity and approximation problems
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by A. M. Davie PDF
Trans. Amer. Math. Soc. 171 (1972), 409-444 Request permission

Abstract:

We consider some problems concerning analytic capacity as a set function, which are relevant to approximation problems for analytic functions on plane sets. In particular we consider the question of semiadditivity of capacity. We obtain positive results in some special cases and give applications to approximation theory. In general we establish some equivalences among various versions of the semiadditivity question and certain questions in approximation theory.
References
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 171 (1972), 409-444
  • MSC: Primary 30A82
  • DOI: https://doi.org/10.1090/S0002-9947-1972-0350009-9
  • MathSciNet review: 0350009