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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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Vertical versus conical square functions
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by Pascal Auscher, Steve Hofmann and José-María Martell PDF
Trans. Amer. Math. Soc. 364 (2012), 5469-5489 Request permission

Abstract:

We study the difference between vertical and conical square functions in the abstract and also in the specific case where the square functions come from an elliptic operator.
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Additional Information
  • Pascal Auscher
  • Affiliation: Laboratoire de Mathématiques, UMR 8628, Université Paris-Sud, Orsay F-91405; CNRS, Orsay, F-91405 France
  • Email: pascal.auscher@math.u-psud.fr
  • Steve Hofmann
  • Affiliation: Department of Mathematics, University of Missouri, Columbia, Missouri 65211
  • MR Author ID: 251819
  • ORCID: 0000-0003-1110-6970
  • Email: hofmann@math.missouri.edu
  • José-María Martell
  • Affiliation: Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM, Consejo Superior de Investigaciones Científicas, C/ Nicolás Cabrera, 13-15, E-28049 Madrid, Spain
  • MR Author ID: 671782
  • ORCID: 0000-0001-6788-4769
  • Email: chema.martell@icmat.es
  • Received by editor(s): December 18, 2010
  • Published electronically: May 29, 2012
  • Additional Notes: Part of this work was carried out while the first author was visiting the Centre for Mathematics and its Applications, Australian National University, Canberra ACT 0200, Australia
    The second author was partially supported by NSF grant number DMS 0801079.
    The third author was supported by MEC Grant MTM2010-16518.
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 364 (2012), 5469-5489
  • MSC (2010): Primary 42B25
  • DOI: https://doi.org/10.1090/S0002-9947-2012-05668-6
  • MathSciNet review: 2931335