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Sbornik: Mathematics, 2021, Volume 212, Issue 6, Pages 859–885
DOI: https://doi.org/10.1070/SM8898 (Mi sm8898) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On defining functions and cores for unbounded domains. III

T. Harza, N. Shcherbinaa, G. Tomassinib

a Department of Mathematics, University of Wuppertal, Wuppertal, Germany
b Scuola Normale Superiore, Pisa, Italy
English version PDF (604 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM8898
Abstract: We extend the authors' results on existence of global defining functions to a number of different settings. In particular, we relax the assumption on strict pseudoconvexity of the domain to strict $q$-pseudoconvexity and we consider more general situations, where the ambient space is an almost complex manifold or a complex space. We also investigate to what extent the assumption on smoothness of the boundary of the domains under consideration is necessary in our results.
Bibliography: 27 titles.
Keywords: strictly pseudoconvex domains, plurisubharmonic defining functions, core of a domain.
Funding agency Grant number
Deutsche Forschungsgemeinschaft SH 456/1-1
National Research Foundation of Korea 2011-0030044
The research of T. Harz was supported in part by the Deutsche Forschungsgemeinschaft (grant no. SH 456/1-1) and by grant no. 2011-0030044 of the National Research Foundation of Korea (NRF) funded by the Korean government (MSIP).
Received: 29.12.2016 and 08.05.2020
Russian version:
Matematicheskii Sbornik, 2021, Volume 212, Number 6, Pages 126–156
DOI: https://doi.org/10.4213/sm8898
Bibliographic databases:
Document Type: Article
UDC: 517.55
MSC: Primary 32T15, 32U05; Secondary 32C15, 32Q60
Language: English
Original paper language: Russian
Citation: T. Harz, N. Shcherbina, G. Tomassini, “On defining functions and cores for unbounded domains. III”, Mat. Sb., 212:6 (2021), 126–156; Sb. Math., 212:6 (2021), 859–885
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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