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Complex analysis and its synergies最新文献

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On the theory of Bergman spaces on homogeneous Siegel domains 齐次Siegel域上的Bergman空间理论
Complex analysis and its synergies Pub Date : 2023-10-31 DOI: 10.1007/s40627-023-00122-w
Mattia Calzi, Marco M. Peloso
{"title":"On the theory of Bergman spaces on homogeneous Siegel domains","authors":"Mattia Calzi, Marco M. Peloso","doi":"10.1007/s40627-023-00122-w","DOIUrl":"https://doi.org/10.1007/s40627-023-00122-w","url":null,"abstract":"Abstract We consider mixed-norm Bergman spaces on homogeneous Siegel domains. In the literature, two different approaches have been considered and several results seem difficult to be compared. In this paper, we compare the results available in the literature and complete the existing ones in one of the two settings. The results we present are as follows: natural inclusions, density, completeness, reproducing properties, sampling, atomic decomposition, duality, continuity of Bergman projectors, boundary values, and transference.","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":" 18","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135863352","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
On formal normal forms of holomorphic germs at super-saddle fixed points 关于超鞍不动点上全纯胚芽的形式正规
Complex analysis and its synergies Pub Date : 2023-10-25 DOI: 10.1007/s40627-023-00123-9
Shizuo Nakane
{"title":"On formal normal forms of holomorphic germs at super-saddle fixed points","authors":"Shizuo Nakane","doi":"10.1007/s40627-023-00123-9","DOIUrl":"https://doi.org/10.1007/s40627-023-00123-9","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"17 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135215962","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
p-Skwarczyński distance p-Skwarczyński 距离
Complex analysis and its synergies Pub Date : 2023-08-31 DOI: 10.1007/s40627-023-00126-6
Shreedhar Bhat
{"title":"p-Skwarczyński distance","authors":"Shreedhar Bhat","doi":"10.1007/s40627-023-00126-6","DOIUrl":"https://doi.org/10.1007/s40627-023-00126-6","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"41 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139347627","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
Global Gevrey vectors 全局Gevrey向量
Complex analysis and its synergies Pub Date : 2023-08-25 DOI: 10.1007/s40627-023-00120-y
G. Hoepfner, A. Raich, P. Rampazo
{"title":"Global Gevrey vectors","authors":"G. Hoepfner, A. Raich, P. Rampazo","doi":"10.1007/s40627-023-00120-y","DOIUrl":"https://doi.org/10.1007/s40627-023-00120-y","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48936277","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
On regular parabolicity of complements of weierstrass algebroidal sets 关于weierstrass代数体集补集的正则抛物性
Complex analysis and its synergies Pub Date : 2023-05-29 DOI: 10.1007/s40627-023-00118-6
A. Atamuratov
{"title":"On regular parabolicity of complements of weierstrass algebroidal sets","authors":"A. Atamuratov","doi":"10.1007/s40627-023-00118-6","DOIUrl":"https://doi.org/10.1007/s40627-023-00118-6","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45552121","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
Proper holomorphic mappings of quasi-balanced domains in $$mathbb {C}^3$$ C 3 $$mathbb｛C｝^3$$C3中拟平衡域的真全纯映射
Complex analysis and its synergies Pub Date : 2023-03-04 DOI: 10.1007/s40627-023-00117-7
Pranav Haridas, Jaikrishnan Janardhanan
{"title":"Proper holomorphic mappings of quasi-balanced domains in \u0000 \u0000 \u0000 \u0000 $$mathbb {C}^3$$\u0000 \u0000 \u0000 \u0000 C\u0000 \u0000 3\u0000 \u0000 \u0000 ","authors":"Pranav Haridas, Jaikrishnan Janardhanan","doi":"10.1007/s40627-023-00117-7","DOIUrl":"https://doi.org/10.1007/s40627-023-00117-7","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"9 1","pages":"1-7"},"PeriodicalIF":0.0,"publicationDate":"2023-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45920572","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
The method of potential rescaling: overview and the localization 势能重标方法:概述与定位
Complex analysis and its synergies Pub Date : 2023-02-17 DOI: 10.1007/s40627-023-00116-8
Young-Jun Choi, Kang-Hyurk Lee
{"title":"The method of potential rescaling: overview and the localization","authors":"Young-Jun Choi, Kang-Hyurk Lee","doi":"10.1007/s40627-023-00116-8","DOIUrl":"https://doi.org/10.1007/s40627-023-00116-8","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":" ","pages":"1-10"},"PeriodicalIF":0.0,"publicationDate":"2023-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44898455","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
Bi-Sobolev boundary singularities Bi-Sobolev边界奇点
Complex analysis and its synergies Pub Date : 2023-02-13 DOI: 10.1007/s40627-023-00114-w
T. Iwaniec, Jani Onninen, Zheng Zhu
{"title":"Bi-Sobolev boundary singularities","authors":"T. Iwaniec, Jani Onninen, Zheng Zhu","doi":"10.1007/s40627-023-00114-w","DOIUrl":"https://doi.org/10.1007/s40627-023-00114-w","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"9 1","pages":"1-10"},"PeriodicalIF":0.0,"publicationDate":"2023-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42903486","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
Sharpening of Turán type inequalities for polar derivative of a polynomial 多项式极坐标导数的Turán型不等式的锐化
Complex analysis and its synergies Pub Date : 2023-01-21 DOI: 10.1007/s40627-023-00113-x
T. Singh, Robinson Soraisam, B. Chanam
{"title":"Sharpening of Turán type inequalities for polar derivative of a polynomial","authors":"T. Singh, Robinson Soraisam, B. Chanam","doi":"10.1007/s40627-023-00113-x","DOIUrl":"https://doi.org/10.1007/s40627-023-00113-x","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"9 1","pages":"1-8"},"PeriodicalIF":0.0,"publicationDate":"2023-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46632340","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
On the certain function algebras on disks 圆盘上的某些函数代数
Complex analysis and its synergies Pub Date : 2022-12-06 DOI: 10.1007/s40627-022-00111-5
K. Chi, Mai The Tan
{"title":"On the certain function algebras on disks","authors":"K. Chi, Mai The Tan","doi":"10.1007/s40627-022-00111-5","DOIUrl":"https://doi.org/10.1007/s40627-022-00111-5","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48009321","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
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