On the Steinness Index View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-04

AUTHORS

Jihun Yum

ABSTRACT

We introduce the concept of Steinness index related to the Stein neighborhood basis. We then show several results: (1) The existence of Steinness index is equivalent to that of strong Stein neighborhood basis. (2) On the Diederich–Fornæss worm domains in particular, we present an explicit formula relating the Steinness index to the well-known Diederich–Fornæss index. (3) The Steinness index is 1 if a smoothly bounded pseudoconvex domain admits finitely many boundary points of infinite type. More... »

PAGES

1-25

References to SciGraph publications

  • 2008-12. A note on plurisubharmonic defining functions in in MATHEMATISCHE ANNALEN
  • 1977-10. Pseudoconvex domains: An example with nontrivial nebenhülle in MATHEMATISCHE ANNALEN
  • 1978-02. Domains with pseudoconvex neighborhood systems in INVENTIONES MATHEMATICAE
  • 1977-06. Pseudoconvex domains: Bounded strictly plurisubharmonic exhaustion functions in INVENTIONES MATHEMATICAE
  • 2007-12. A note on plurisubharmonic defining functions in in MATHEMATISCHE ZEITSCHRIFT
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s12220-018-0053-z

    DOI

    http://dx.doi.org/10.1007/s12220-018-0053-z

    DIMENSIONS

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