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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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Asymptotic values of modulus $1$ of Blaschke products
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by K. K. Leung and C. N. Linden PDF
Trans. Amer. Math. Soc. 203 (1975), 107-118 Request permission

Abstract:

A sufficient condition is found for each subproduct of a Blaschke product to have an asymptotic value of modulus 1 along a prescribed arc of a specified type in the unit disc. The condition obtained is found to be necessary in the case of further restrictions of the arc, and the two results give rise to a necessary and sufficient condition for the existence of ${T_\gamma }$-limits of modulus 1 for Blaschke products.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 203 (1975), 107-118
  • MSC: Primary 30A72; Secondary 30A76
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0361084-2
  • MathSciNet review: 0361084