{"title":"Retracted: Innovation Capacity, Industrial Structure, and Regional Development of High Quality: Empirical Research Based on the County Level","authors":"Journal of Function Spaces","doi":"10.1155/2023/9829467","DOIUrl":"https://doi.org/10.1155/2023/9829467","url":null,"abstract":"<jats:p />","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136064068","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Retracted: Set-Theoretic Inequalities Based on Convex Multi-Argument Approximate Functions via Set Inclusion","authors":"Journal of Function Spaces","doi":"10.1155/2023/9808327","DOIUrl":"https://doi.org/10.1155/2023/9808327","url":null,"abstract":"<jats:p />","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136064101","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we give a characterization of Fredholmness of the Toeplitz operators on the Bergman spaces with exponential weights in when . Also, we obtain the sufficient and necessary conditions which the Toeplitz and Hankel operators on belong to -Schatten class, where is a continuous increasing convex function.
{"title":"Fredholm and Schatten Class Operators on Bergman Spaces with Exponential Weights","authors":"Xuedi Ma, Xiaofeng Wang, Jin Xia","doi":"10.1155/2023/9436300","DOIUrl":"https://doi.org/10.1155/2023/9436300","url":null,"abstract":"In this paper, we give a characterization of Fredholmness of the Toeplitz operators on the Bergman spaces <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"> <msubsup> <mrow> <mi>A</mi> </mrow> <mrow> <mi>φ</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msubsup> </math> with exponential weights in <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\"> <mi mathvariant=\"double-struck\">D</mi> </math> when <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\"> <mn>0</mn> <mo><</mo> <mi>p</mi> <mo><</mo> <mo>∞</mo> </math> . Also, we obtain the sufficient and necessary conditions which the Toeplitz and Hankel operators on <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M4\"> <msubsup> <mrow> <mi>A</mi> </mrow> <mrow> <mi>φ</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msubsup> </math> belong to <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M5\"> <mi>h</mi> </math> -Schatten class, where <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M6\"> <mi>h</mi> </math> is a continuous increasing convex function.","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136210308","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Retracted: New Concepts in the Vague Graph Structure with an Application in Transportation","authors":"Journal of Function Spaces","doi":"10.1155/2023/9831780","DOIUrl":"https://doi.org/10.1155/2023/9831780","url":null,"abstract":"<jats:p />","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136064100","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Retracted: Existence and Uniqueness of Mild Solution for Fractional-Order Controlled Fuzzy Evolution Equation","authors":"Journal of Function Spaces","doi":"10.1155/2023/9826394","DOIUrl":"https://doi.org/10.1155/2023/9826394","url":null,"abstract":"<jats:p />","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136064114","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Retracted: Multicriteria Decision-Making Methods Using Bipolar Neutrosophic Hamacher Geometric Aggregation Operators","authors":"Journal of Function Spaces","doi":"10.1155/2023/9798405","DOIUrl":"https://doi.org/10.1155/2023/9798405","url":null,"abstract":"<jats:p />","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136062557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Retracted: Assessment of the Business Proposals Using Frank Aggregation Operators Based on Interval-Valued T-Spherical Fuzzy Information","authors":"Journal of Function Spaces","doi":"10.1155/2023/9846917","DOIUrl":"https://doi.org/10.1155/2023/9846917","url":null,"abstract":"<jats:p />","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136062731","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Retracted: Study of Fuzzy Fractional Nonlinear Equal Width Equation in the Sense of Novel Operator","authors":"Journal of Function Spaces","doi":"10.1155/2023/9893059","DOIUrl":"https://doi.org/10.1155/2023/9893059","url":null,"abstract":"<jats:p />","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136062739","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Retracted: Computing First and Second Fuzzy Zagreb Indices of Linear and Multiacyclic Hydrocarbons","authors":"Journal of Function Spaces","doi":"10.1155/2023/9753418","DOIUrl":"https://doi.org/10.1155/2023/9753418","url":null,"abstract":"<jats:p />","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136062761","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Retracted: E-Commerce across Boarder Logistics Risk Evaluation Model Based on Improved Neural Network","authors":"Journal of Function Spaces","doi":"10.1155/2023/9797020","DOIUrl":"https://doi.org/10.1155/2023/9797020","url":null,"abstract":"<jats:p />","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135552304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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