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Complex analysis and its synergies最新文献

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A note on Schwarz’s lemma 关于Schwarz引理的一个注记
Complex analysis and its synergies Pub Date : 2021-03-29 DOI: 10.1007/s40627-021-00077-w
J. Mashreghi
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引用次数: 1
Approximation by uniform domains in doubling quasiconvex metric spaces 二重拟凸度量空间中的一致定域近似
Complex analysis and its synergies Pub Date : 2021-02-22 DOI: 10.1007/s40627-021-00062-3
T. Rajala
{"title":"Approximation by uniform domains in doubling quasiconvex metric spaces","authors":"T. Rajala","doi":"10.1007/s40627-021-00062-3","DOIUrl":"https://doi.org/10.1007/s40627-021-00062-3","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40627-021-00062-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52731448","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
Generalized quasidisks and conformality: progress and challenges 广义拟风险与一致性:进展与挑战
Complex analysis and its synergies Pub Date : 2021-02-18 DOI: 10.1007/s40627-021-00065-0
Changyu Guo, Haiqing Xu
{"title":"Generalized quasidisks and conformality: progress and challenges","authors":"Changyu Guo, Haiqing Xu","doi":"10.1007/s40627-021-00065-0","DOIUrl":"https://doi.org/10.1007/s40627-021-00065-0","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40627-021-00065-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52731862","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Solutions of the $$bar{partial }$$ ∂ ¯ -equa $$bar{partial }$$∂¯-equa的解
Complex analysis and its synergies Pub Date : 2021-02-01 DOI: 10.1007/s40627-021-00061-4
E. Amar
{"title":"Solutions of the \u0000 \u0000 \u0000 \u0000 $$bar{partial }$$\u0000 \u0000 \u0000 \u0000 ∂\u0000 \u0000 \u0000 ¯\u0000 \u0000 \u0000 \u0000 -equa","authors":"E. Amar","doi":"10.1007/s40627-021-00061-4","DOIUrl":"https://doi.org/10.1007/s40627-021-00061-4","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"7 1","pages":"1-13"},"PeriodicalIF":0.0,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40627-021-00061-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44719625","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Compact homogeneous Leviflat CR-manifolds. 紧凑同质 Leviflat CR-manifolds。
Complex analysis and its synergies Pub Date : 2021-01-01 Epub Date: 2021-07-15 DOI: 10.1007/s40627-021-00083-y
A R Al-Abdallah, B Gilligan
{"title":"Compact homogeneous Leviflat CR-manifolds.","authors":"A R Al-Abdallah, B Gilligan","doi":"10.1007/s40627-021-00083-y","DOIUrl":"10.1007/s40627-021-00083-y","url":null,"abstract":"<p><p>We consider compact Leviflat homogeneous Cauchy-Riemann (CR) manifolds. In this setting, the Levi-foliation exists and we show that all its leaves are homogeneous and biholomorphic. We analyze separately the structure of orbits in complex projective spaces and parallelizable homogeneous CR-manifolds in our context and then combine the projective and parallelizable cases. In codimensions one and two, we also give a classification.</p>","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"7 3-4","pages":"25"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550170/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39847701","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Duality of capacities and Sobolev extendability in the plane. 平面上容量的对偶性和Sobolev可扩展性。
Complex analysis and its synergies Pub Date : 2021-01-01 Epub Date: 2021-02-22 DOI: 10.1007/s40627-021-00063-2
Yi Ru-Ya Zhang
{"title":"Duality of capacities and Sobolev extendability in the plane.","authors":"Yi Ru-Ya Zhang","doi":"10.1007/s40627-021-00063-2","DOIUrl":"https://doi.org/10.1007/s40627-021-00063-2","url":null,"abstract":"<p><p>We reveal relations between the duality of capacities and the duality between Sobolev extendability of Jordan domains in the plane, and explain how to read the curve conditions involved in the Sobolev extendability of Jordan domains via the duality of capacities. Finally as an application, we give an alternative proof of the necessary condition for a Jordan planar domain to be <math><msup><mi>W</mi> <mrow><mn>1</mn> <mo>,</mo> <mspace></mspace> <mi>q</mi></mrow> </msup> </math> -extension domain when <math><mrow><mn>2</mn> <mo><</mo> <mi>q</mi> <mo><</mo> <mi>∞</mi></mrow> </math> .</p>","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"7 1","pages":"3"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40627-021-00063-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"25514297","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Pekka Koskela. 佩卡·科斯凯拉。
Complex analysis and its synergies Pub Date : 2021-01-01 Epub Date: 2021-06-16 DOI: 10.1007/s40627-021-00082-z
Gaven Martin, Jani Onninen
{"title":"Pekka Koskela.","authors":"Gaven Martin,&nbsp;Jani Onninen","doi":"10.1007/s40627-021-00082-z","DOIUrl":"https://doi.org/10.1007/s40627-021-00082-z","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"7 3","pages":"22"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40627-021-00082-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39250536","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Acknowledgements, 2020 确认,2020
Complex analysis and its synergies Pub Date : 2020-11-28 DOI: 10.1007/s40627-020-00060-x
Forson Akua Obeng, R. Awang, Sonia Tunisia, Jose Polpass Arul, Luciana Pellegrini
{"title":"Acknowledgements, 2020","authors":"Forson Akua Obeng, R. Awang, Sonia Tunisia, Jose Polpass Arul, Luciana Pellegrini","doi":"10.1007/s40627-020-00060-x","DOIUrl":"https://doi.org/10.1007/s40627-020-00060-x","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40627-020-00060-x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46588331","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Polynomial approximation in weighted Dirichlet spaces 加权Dirichlet空间中的多项式逼近
Complex analysis and its synergies Pub Date : 2020-11-04 DOI: 10.1007/s40627-021-00078-9
J. Mashreghi, T. Ransford
{"title":"Polynomial approximation in weighted Dirichlet spaces","authors":"J. Mashreghi, T. Ransford","doi":"10.1007/s40627-021-00078-9","DOIUrl":"https://doi.org/10.1007/s40627-021-00078-9","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40627-021-00078-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46760452","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Non-existence of complete Kähler metric of negatively pinched holomorphic sectional curvature 负缩全纯截面曲率的完全度规Kähler的不存在性
Complex analysis and its synergies Pub Date : 2020-09-28 DOI: 10.1007/s40627-023-00119-5
Gunhee Cho
{"title":"Non-existence of complete Kähler metric of negatively pinched holomorphic sectional curvature","authors":"Gunhee Cho","doi":"10.1007/s40627-023-00119-5","DOIUrl":"https://doi.org/10.1007/s40627-023-00119-5","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46641067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
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