Cauchy变换空间到加权Zygmund空间的Volterra型算子

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2025-04-21 DOI:10.1007/s40995-025-01792-3

Ebrahim Abbasi, Mostafa Hassanlou, Daryoush Molaei

{"title":"Cauchy变换空间到加权Zygmund空间的Volterra型算子","authors":"Ebrahim Abbasi, Mostafa Hassanlou, Daryoush Molaei","doi":"10.1007/s40995-025-01792-3","DOIUrl":null,"url":null,"abstract":"<div>Let \\(g\\in H(\\mathbb {D})\\), the Volterra type operator \\(J_g\\) is defined by \\(\\begin{aligned} (J_g f)(z) = \\int _0^z f(\\xi ) g'(\\xi ) d \\xi , \\ \\ \\ f\\in H(\\mathbb {D}), z\\in \\mathbb {D}. \\end{aligned}\\)In this paper, some properties of Volterra type operator \\(J_g\\) from Cauchy transform space into weighted Zygmund space will be investigated.\n</div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"49 4","pages":"1097 - 1102"},"PeriodicalIF":1.4000,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Volterra Type Operator from Cauchy Transform Space into Weighted Zygmund Space\",\"authors\":\"Ebrahim Abbasi, Mostafa Hassanlou, Daryoush Molaei\",\"doi\":\"10.1007/s40995-025-01792-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div>Let \\\\(g\\\\in H(\\\\mathbb {D})\\\\), the Volterra type operator \\\\(J_g\\\\) is defined by \\\\(\\\\begin{aligned} (J_g f)(z) = \\\\int _0^z f(\\\\xi ) g'(\\\\xi ) d \\\\xi , \\\\ \\\\ \\\\ f\\\\in H(\\\\mathbb {D}), z\\\\in \\\\mathbb {D}. \\\\end{aligned}\\\\)In this paper, some properties of Volterra type operator \\\\(J_g\\\\) from Cauchy transform space into weighted Zygmund space will be investigated.\\n</div>\",\"PeriodicalId\":600,\"journal\":{\"name\":\"Iranian Journal of Science and Technology, Transactions A: Science\",\"volume\":\"49 4\",\"pages\":\"1097 - 1102\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2025-04-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iranian Journal of Science and Technology, Transactions A: Science\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40995-025-01792-3\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Science and Technology, Transactions A: Science","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s40995-025-01792-3","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}

引用次数: 0

摘要

令\(g\in H(\mathbb {D})\)， Volterra型算子\(J_g\)由\(\begin{aligned} (J_g f)(z) = \int _0^z f(\xi ) g'(\xi ) d \xi , \ \ \ f\in H(\mathbb {D}), z\in \mathbb {D}. \end{aligned}\)定义。本文研究了Volterra型算子\(J_g\)从Cauchy变换空间到加权Zygmund空间的一些性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Volterra Type Operator from Cauchy Transform Space into Weighted Zygmund Space

Let \(g\in H(\mathbb {D})\), the Volterra type operator \(J_g\) is defined by \(\begin{aligned} (J_g f)(z) = \int _0^z f(\xi ) g'(\xi ) d \xi , \ \ \ f\in H(\mathbb {D}), z\in \mathbb {D}. \end{aligned}\)In this paper, some properties of Volterra type operator \(J_g\) from Cauchy transform space into weighted Zygmund space will be investigated.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

期刊介绍： The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences