The Diederich–Fornæss index I: For domains of non-trivial index
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DOI: 10.1016/j.aim.2018.11.011
Abstract: We study bounded pseudoconvex domains in complex Euclidean space. We define an index associated to the boundary and show this new index is equivalent to the Diederich-Forn{\ae}ss index defined in 1977. This connects the Diederich-Forn{\ae}ss… read more here.
Keywords: domains non; forn index; diederich forn; non trivial ... See more keywords
The Diederich–Fornæss index II: For domains of trivial index
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DOI: 10.1016/j.aim.2019.01.003
Abstract: We study bounded pseudoconvex domains in complex Euclidean spaces. We find analytical necessary conditions and geometric sufficient conditions for a domain being of trivial Diederich--Forn\ae ss index (i.e. the index equals to 1). We also… read more here.
Keywords: index; domains trivial; trivial index; forn index ... See more keywords