Families of Strictly Pseudoconvex Domains and Peak Functions

We prove that given a family [Formula: see text] of strictly pseudoconvex domains varying in [Formula: see text] topology on domains, there exists a continuously varying family of peak functions [Formula: see text] for all [Formula: see text] at every [Formula: see text] .

Detalles Bibliográficos
Autor principal: Lewandowski, Arkadiusz
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6294183/
https://www.ncbi.nlm.nih.gov/pubmed/30839904
http://dx.doi.org/10.1007/s12220-017-9912-2
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author Lewandowski, Arkadiusz
author_facet Lewandowski, Arkadiusz
author_sort Lewandowski, Arkadiusz
collection PubMed
description We prove that given a family [Formula: see text] of strictly pseudoconvex domains varying in [Formula: see text] topology on domains, there exists a continuously varying family of peak functions [Formula: see text] for all [Formula: see text] at every [Formula: see text] .
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spelling pubmed-62941832018-12-28 Families of Strictly Pseudoconvex Domains and Peak Functions Lewandowski, Arkadiusz J Geom Anal Article We prove that given a family [Formula: see text] of strictly pseudoconvex domains varying in [Formula: see text] topology on domains, there exists a continuously varying family of peak functions [Formula: see text] for all [Formula: see text] at every [Formula: see text] . Springer US 2017-09-06 2018 /pmc/articles/PMC6294183/ /pubmed/30839904 http://dx.doi.org/10.1007/s12220-017-9912-2 Text en © The Author(s) 2017 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Lewandowski, Arkadiusz
Families of Strictly Pseudoconvex Domains and Peak Functions
title Families of Strictly Pseudoconvex Domains and Peak Functions
title_full Families of Strictly Pseudoconvex Domains and Peak Functions
title_fullStr Families of Strictly Pseudoconvex Domains and Peak Functions
title_full_unstemmed Families of Strictly Pseudoconvex Domains and Peak Functions
title_short Families of Strictly Pseudoconvex Domains and Peak Functions
title_sort families of strictly pseudoconvex domains and peak functions
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6294183/
https://www.ncbi.nlm.nih.gov/pubmed/30839904
http://dx.doi.org/10.1007/s12220-017-9912-2
work_keys_str_mv AT lewandowskiarkadiusz familiesofstrictlypseudoconvexdomainsandpeakfunctions

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