An inequality with applications to the subellipticity of the $\overline \partial$-Neumann problem
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- by Lop-Hing Ho PDF
- Proc. Amer. Math. Soc. 111 (1991), 135-138 Request permission
Abstract:
We prove an interesting inequality in this note. This inequality will be used to remove an unnecessary assumption in [2]. That paper dealt with the sufficient condition for the subellipticity of the $\bar \partial$-Neumann problem on nonpseudoconvex domains. We will then state the revised theorem and show why the original assumption can be removed.References
- G. B. Folland and J. J. Kohn, The Neumann problem for the Cauchy-Riemann complex, Annals of Mathematics Studies, No. 75, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1972. MR 0461588
- Lop-Hing Ho, Subellipticity of the $\bar \partial$-Neumann problem on nonpseudoconvex domains, Trans. Amer. Math. Soc. 291 (1985), no. 1, 43–73. MR 797045, DOI 10.1090/S0002-9947-1985-0797045-5
- J. J. Kohn, Subellipticity of the $\bar \partial$-Neumann problem on pseudo-convex domains: sufficient conditions, Acta Math. 142 (1979), no. 1-2, 79–122. MR 512213, DOI 10.1007/BF02395058
Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 135-138
- MSC: Primary 35N15; Secondary 32F10
- DOI: https://doi.org/10.1090/S0002-9939-1991-1031664-4
- MathSciNet review: 1031664