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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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$\overline \partial$-equation on a lunar domain with mixed boundary conditions
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by Xiaojun Huang and Xiaoshan Li PDF
Trans. Amer. Math. Soc. 368 (2016), 6915-6937 Request permission

Abstract:

In this paper, making use of the method developed by Catlin, we study the $L^2$-estimate for the $\bar \partial$-equation on a lunar manifold with mixed boundary conditions.
References
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Additional Information
  • Xiaojun Huang
  • Affiliation: School of Mathematics and Statistics, Wuhan University, Hubei 430072, People’s Republic of China – and – Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
  • Email: huangx@math.rutgers.edu
  • Xiaoshan Li
  • Affiliation: School of Mathematics and Statistics, Wuhan University, Hubei 430072, People’s Republic of China
  • Email: xiaoshanli@whu.edu.cn
  • Received by editor(s): March 4, 2014
  • Received by editor(s) in revised form: August 20, 2014
  • Published electronically: February 10, 2016
  • Additional Notes: The first author was supported in part by NSF-1363418
    The second author was supported by the China Scholarship Council and the Fundamental Research Fund for the Central Universities
  • © Copyright 2016 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 368 (2016), 6915-6937
  • MSC (2010): Primary 32W05; Secondary 32V15
  • DOI: https://doi.org/10.1090/tran/6547
  • MathSciNet review: 3471081