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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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Subelliptic Cordes estimates
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by András Domokos and Juan J. Manfredi PDF
Proc. Amer. Math. Soc. 133 (2005), 1047-1056 Request permission

Abstract:

We prove Cordes type estimates for subelliptic linear partial differential operators in non-divergence form with measurable coefficients in the Heisenberg group. As an application we establish interior horizontal $W^{2,2}$-regularity for p-harmonic functions in the Heisenberg group ${\mathbb H}^1$ for the range $\frac {\sqrt {17}-1}{2} \leq p < \frac {5+\sqrt {5}}{2}$.
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Additional Information
  • András Domokos
  • Affiliation: Department of Mathematics, University of Pittsburgh, 301 Thackeray Hall, Pittsburgh, Pennsylvania 15260
  • Address at time of publication: Department of Mathematics and Statistics, California State University Sacramento, 6000 J Street, Sacramento, California 95819
  • Email: domokos@csus.edu
  • Juan J. Manfredi
  • Affiliation: Department of Mathematics, University of Pittsburgh, 301 Thackeray Hall, Pittsburgh, Pennsylvania 15260
  • MR Author ID: 205679
  • Email: manfredi@pitt.edu
  • Received by editor(s): August 13, 2003
  • Published electronically: November 19, 2004
  • Additional Notes: The authors were partially supported by NSF award DMS-0100107
  • Communicated by: David S. Tartakoff
  • © Copyright 2004 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 1047-1056
  • MSC (2000): Primary 35H20, 35J70
  • DOI: https://doi.org/10.1090/S0002-9939-04-07819-0
  • MathSciNet review: 2117205