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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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A div-curl decomposition for the local Hardy space
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by Der-Chen Chang, Galia Dafni and Hong Yue PDF
Proc. Amer. Math. Soc. 137 (2009), 3369-3377

Abstract:

A decomposition theorem for the local Hardy space of Goldberg, in terms of nonhomogeneous div-curl quantities, is proved via a dual result for the space bmo.
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Additional Information
  • Der-Chen Chang
  • Affiliation: Department of Mathematics, Georgetown University, Washington, DC 20057
  • MR Author ID: 47325
  • Email: chang@georgetown.edu
  • Galia Dafni
  • Affiliation: Department of Mathematics and Statistics, Concordia University, Montreal, Quebec, H3G 1M8, Canada
  • MR Author ID: 255789
  • ORCID: 0000-0002-5078-7724
  • Email: gdafni@mathstat.concordia.ca
  • Hong Yue
  • Affiliation: Department of Mathematics and Informatics, Trine University, Angola, Indiana 46703
  • Email: yueh@trine.edu
  • Received by editor(s): January 21, 2009
  • Published electronically: May 21, 2009
  • Additional Notes: The first author was partially supported by a Hong Kong RGC competitive earmarked research grant #600607 and a competitive research grant at Georgetown University.
    The second author was partially supported by the Natural Sciences and Engineering Research Council, Canada
    The third author was partially supported by the Natural Sciences and Engineering Research Council, Canada, and the Centre de Recherches Mathématiques, Montreal
  • Communicated by: Mei-Chi Shaw
  • © Copyright 2009 Der-Chen Chang, Galia Dafni, and Hong Yue
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 3369-3377
  • MSC (2000): Primary 42B30; Secondary 35B65, 35F05, 46E35
  • DOI: https://doi.org/10.1090/S0002-9939-09-09970-5
  • MathSciNet review: 2515406