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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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On Riesz type inequalities for harmonic mappings on the unit disk
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by David Kalaj PDF
Trans. Amer. Math. Soc. 372 (2019), 4031-4051 Request permission

Abstract:

We prove some sharp inequalities for complex harmonic functions on the unit disk. The results extend a M. Riesz conjugate function theorem and some well-known estimates for holomorphic functions. We apply some of results to the isoperimetric inequality for harmonic mappings.
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Additional Information
  • David Kalaj
  • Affiliation: Faculty of Natural Sciences and Mathematics, University of Montenegro, Cetinjski put b.b. 81000 Podgorica, Montenegro
  • MR Author ID: 689421
  • Email: davidk@ac.me
  • Received by editor(s): December 17, 2017
  • Received by editor(s) in revised form: July 19, 2018
  • Published electronically: March 26, 2019
  • © Copyright 2019 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 372 (2019), 4031-4051
  • MSC (2010): Primary 47B35
  • DOI: https://doi.org/10.1090/tran/7808
  • MathSciNet review: 4009386