On the regularity of extension to strictly pseudoconvex domains of functions holomorphic in a submanifold in general position
Piotr Jakóbczak (1983)
Annales Polonici Mathematici
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Displaying similar documents to “A remark on semiglobal existence for ”
On the regularity of extension to strictly pseudoconvex domains of functions holomorphic in a submanifold in general position
Condition and Fefferman's mapping theorem.
Darko, Patrick (2002)
International Journal of Mathematics and Mathematical Sciences
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Trivial generators for nontrivial fibres
Linus Carlsson (2008)
Mathematica Bohemica
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Pseudoconvex domains are exhausted in such a way that we keep a part of the boundary fixed in all the domains of the exhaustion. This is used to solve a problem concerning whether the generators for the ideal of either the holomorphic functions continuous up to the boundary or the bounded holomorphic functions, vanishing at a point in where the fibre is nontrivial, has to exceed . This is shown not to be the case.
Proper Holomorphic Images of Strictly Pseudoconvex Domains.
Klas Diederich, John Eric Fornaess (1982)
Mathematische Annalen
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Necessary conditions for local convexifiability of pseudoconvex domains in
Kolář, Martin
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Hartogs theorem for forms : solvability of Cauchy-Riemann operator at critical degree
Chin-Huei Chang, Hsuan-Pei Lee (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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The Hartogs Theorem for holomorphic functions is generalized in two settings: a CR version (Theorem 1.2) and a corresponding theorem based on it for -closed forms at the critical degree, (Theorem 1.1). Part of Frenkel’s lemma in category is also proved.