Fock空间的零集和唯一集

IF 0.5 4区数学 Q3 MATHEMATICS

Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques Pub Date : 2022-07-21 DOI:10.4153/S0008439522000492

D. Aadi, Y. Omari

{"title":"Fock空间的零集和唯一集","authors":"D. Aadi, Y. Omari","doi":"10.4153/S0008439522000492","DOIUrl":null,"url":null,"abstract":"Abstract We characterize zero sets for which every subset remains a zero set too in the Fock space \n$\\mathcal {F}^p$\n , \n$1\\leq p<\\infty $\n . We are also interested in the study of a stability problem for some examples of uniqueness set with zero excess in Fock spaces.","PeriodicalId":55280,"journal":{"name":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2022-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Zero and uniqueness sets for Fock spaces\",\"authors\":\"D. Aadi, Y. Omari\",\"doi\":\"10.4153/S0008439522000492\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We characterize zero sets for which every subset remains a zero set too in the Fock space \\n$\\\\mathcal {F}^p$\\n , \\n$1\\\\leq p<\\\\infty $\\n . We are also interested in the study of a stability problem for some examples of uniqueness set with zero excess in Fock spaces.\",\"PeriodicalId\":55280,\"journal\":{\"name\":\"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-07-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4153/S0008439522000492\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4153/S0008439522000492","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 1

摘要

摘要我们刻画了在Fock空间$\mathcal｛F｝^p$，$1\leq p<\infty$中每个子集也保持为零集的零集。我们还对Fock空间中具有零过量的唯一性集的一些例子的稳定性问题的研究感兴趣。

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

Zero and uniqueness sets for Fock spaces

Abstract We characterize zero sets for which every subset remains a zero set too in the Fock space $\mathcal {F}^p$ , $1\leq p<\infty $ . We are also interested in the study of a stability problem for some examples of uniqueness set with zero excess in Fock spaces.

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

Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

24 months

期刊介绍： The Canadian Mathematical Bulletin was established in 1958 to publish original, high-quality research papers in all branches of mathematics and to accommodate the growing demand for shorter research papers. The Bulletin is a companion publication to the Canadian Journal of Mathematics that publishes longer papers. New research papers are published continuously online and collated into print issues four times each year. To be submitted to the Bulletin, papers should be at most 18 pages long and may be written in English or in French. Longer papers should be submitted to the Canadian Journal of Mathematics. Fondé en 1958, le Bulletin canadien de mathématiques (BCM) publie des articles d’avant-garde et de grande qualité dans toutes les branches des mathématiques, de même que pour répondre à la demande croissante d’articles scientifiques plus brefs. Le BCM se veut une publication complémentaire au Journal canadien de mathématiques, qui publie de longs articles. En ligne, il propose constamment de nouveaux articles de recherche, puis les réunit dans des numéros imprimés quatre fois par année. Les textes présentés au BCM doivent compter au plus 18 pages et être rédigés en anglais ou en français. C’est le Journal canadien de mathématiques qui reçoit les articles plus longs.