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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Une minoration de la norme de l’opérateur de Cauchy sur les graphes lipschitziens
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by Guy David PDF
Trans. Amer. Math. Soc. 302 (1987), 741-750 Request permission

Abstract:

It was shown by T. Murai that the norm of the operator defined by the Cauchy kernel on the graph of a Lipschitz function $A$ is less than $C{(1 + {\left \| {A’} \right \|_\infty })^{1/2}}$. We use Garnett’s example to show that this estimate is optimal.
References
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 302 (1987), 741-750
  • MSC: Primary 42B20; Secondary 30C85
  • DOI: https://doi.org/10.1090/S0002-9947-1987-0891644-X
  • MathSciNet review: 891644