{"title":"Families of Strictly Pseudoconvex Domains and Peak Functions.","authors":"Arkadiusz Lewandowski","doi":"10.1007/s12220-017-9912-2","DOIUrl":null,"url":null,"abstract":"<p><p>We prove that given a family <math><mrow><mo>(</mo> <msub><mi>G</mi> <mi>t</mi></msub> <mo>)</mo></mrow> </math> of strictly pseudoconvex domains varying in <math> <msup><mrow><mi>C</mi></mrow> <mn>2</mn></msup> </math> topology on domains, there exists a continuously varying family of peak functions <math><msub><mi>h</mi> <mrow><mi>t</mi> <mo>,</mo> <mi>ζ</mi></mrow> </msub> </math> for all <math><msub><mi>G</mi> <mi>t</mi></msub> </math> at every <math><mrow><mi>ζ</mi> <mo>∈</mo> <mi>∂</mi> <msub><mi>G</mi> <mi>t</mi></msub> </mrow> </math> .</p>","PeriodicalId":56121,"journal":{"name":"Journal of Geometric Analysis","volume":null,"pages":null},"PeriodicalIF":1.2000,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12220-017-9912-2","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Geometric Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12220-017-9912-2","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2017/9/6 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 6
Abstract
We prove that given a family of strictly pseudoconvex domains varying in topology on domains, there exists a continuously varying family of peak functions for all at every .
期刊介绍：
JGA publishes both research and high-level expository papers in geometric analysis and its applications. There are no restrictions on page length.
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