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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the Carleson measure characterization of BMOA functions on the unit ball
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by Miroljub Jevtić PDF
Proc. Amer. Math. Soc. 114 (1992), 379-386 Request permission

Abstract:

An equivalent form of the well-known Carleson measure condition that characterizes BMOA functions on the unit ball is given. As an application, it is proved that the Toeplitz operator ${T_{\bar \varphi }},\varphi \in {H^\infty }(S)$, is bounded on the Hardy-Sobolev space $H_\alpha ^1,0 < \alpha < \infty$.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 379-386
  • MSC: Primary 32A37; Secondary 47B35
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1072341-4
  • MathSciNet review: 1072341