A remark on bounded strictly plurisubharmonic exhaustion functions

Range, R. Michael

doi:10.1090/S0002-9939-1981-0593461-7

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)

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A remark on bounded strictly plurisubharmonic exhaustion functions
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by R. Michael Range PDF

Proc. Amer. Math. Soc. 81 (1981), 220-222 Request permission

Abstract:

A more general version of the theorem of Diederich and Fornaess on the existence of bounded strictly plurisubharmonic exhaustion functions is proved by completely elementary methods.

References

Klas Diederich and John Erik Fornaess, Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions, Invent. Math. 39 (1977), no. 2, 129–141. MR 437806, DOI 10.1007/BF01390105
J. J. Kohn, Global regularity for $\bar \partial$ on weakly pseudo-convex manifolds, Trans. Amer. Math. Soc. 181 (1973), 273–292. MR 344703, DOI 10.1090/S0002-9947-1973-0344703-4