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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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Subelliptic estimates for the $\overline \partial$-Neumann problem for $n-1$ forms
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by Lop-Hing Ho PDF
Trans. Amer. Math. Soc. 325 (1991), 171-185 Request permission

Abstract:

In this note we deal with the problem of the subelliptic estimates of the $\bar \partial$-Neumann problem on nonpseudoconvex domains. In the first part we give a necessary condition for $n - 1$ forms in a class of domains. In the second part we give the exact estimate for a class of domains where the Levi form of a vector field $L$ is bounded below by a certain function.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 325 (1991), 171-185
  • MSC: Primary 32F20; Secondary 35N15
  • DOI: https://doi.org/10.1090/S0002-9947-1991-0991963-3
  • MathSciNet review: 991963