Families of strictly pseudoconvex domains and peak functions

DOI10.1007/s12220-017-9912-2zbMath1454.32021arXiv1701.04259OpenAlexW2579870631WikidataQ59608027 ScholiaQ59608027MaRDI QIDQ1711010

Arkadiusz Lewandowski

Publication date: 16 January 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04259

zbMATH Keywords

peak functionsstrictly pseudoconvex domainspeak points

Mathematics Subject Classification ID

Peak functions (32T40) Strongly pseudoconvex domains (32T15)

Related Items

Strictly pseudoconvex domains and smoothly varying peak functions ⋮ Families of exposing maps in strictly pseudoconvex domains ⋮ Parametrix for the localization of the Bergman metric on strictly pseudoconvex domains ⋮ Peak functions and boundary behaviour of holomorphically invariant distances and metrics on strictly pseudoconvex domains

Cites Work

• Complete proper holomorphic embeddings of strictly pseudoconvex domains into balls
• Sup-norm estimates for \({\bar\partial}\) in \({\mathbb{C}}^ 2\)
• The Caratheodory metric and holomorphic maps on a class of weakly pseudoconvex domains
• Biholomorphic maps of weakly pseudoconvex domains
• Properties of squeezing functions and global transformations of bounded domains
• Embedding Strictly Pseudoconvex Domains Into Balls
• Boundary Behavior of the Caratheodory and Kobayashi Metrics on Strongly Pseudoconvex Domains in C n with Smooth Boundary
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