A characterization of weak pseudoconvexity
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- by Akira Sakai PDF
- Proc. Amer. Math. Soc. 105 (1989), 314-316 Request permission
Abstract:
It is proved that a smooth domain $D$ of ${{\mathbf {C}}^n}$ is weakly pseudoconvex, if, for every strongly pseudoconvex domain $D’$ with $D \cap D’ = \emptyset$ and $E = \bar D \cap \bar D’ \ne \emptyset ,E$ is totally real.References
- Th. Duchamp and E. L. Stout, Maximum modulus sets, Ann. Inst. Fourier (Grenoble) 31 (1981), no. 3, v, 37–69 (English, with French summary). MR 638616
- Akira Sakai, The intersection of the closures of two disjoint strongly pseudoconvex domains, Math. Ann. 260 (1982), no. 1, 117–118. MR 664370, DOI 10.1007/BF01475759
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 314-316
- MSC: Primary 32F15
- DOI: https://doi.org/10.1090/S0002-9939-1989-0933520-7
- MathSciNet review: 933520