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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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Holomorphic projection and duality for domains in complex projective space
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by David E. Barrett PDF
Trans. Amer. Math. Soc. 368 (2016), 827-850 Request permission

Abstract:

We show that the efficiency of a natural pairing between certain projectively invariant Hardy spaces on dual strongly $\mathbb {C}$-convex real hypersurfaces in complex projective space is measured by the norm of the corresponding Leray transform.
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Additional Information
  • David E. Barrett
  • Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1043
  • MR Author ID: 31620
  • Email: barrett@umich.edu
  • Received by editor(s): April 2, 2013
  • Received by editor(s) in revised form: December 3, 2013
  • Published electronically: April 3, 2015
  • Additional Notes: The author was supported in part by NSF grant number DMS-0901205.
  • © Copyright 2015 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 368 (2016), 827-850
  • MSC (2010): Primary 32A26
  • DOI: https://doi.org/10.1090/tran/6338
  • MathSciNet review: 3430351