海森堡群上非均质微分算子的强制估计

IF 0.7 4区数学 Q2 MATHEMATICS

Siberian Mathematical Journal Pub Date : 2024-05-29 DOI:10.1134/s0037446624030157

D. V. Isangulova

{"title":"海森堡群上非均质微分算子的强制估计","authors":"D. V. Isangulova","doi":"10.1134/s0037446624030157","DOIUrl":null,"url":null,"abstract":"We construct some linear nonhomogeneous differential operator \\( \\mathcal{Q} \\) on the Heisenberg group\nwhose kernel is interconnected with the Lie algebra of the group of conformal mappings.\nIn more detail, the kernel of \\( \\mathcal{Q} \\) coincides with first two coordinate functions of mappings of\nthe Lie algebra of conformal mappings.\nWe derive the integral representation formula and\ngive a coercive estimate for \\( \\mathcal{Q} \\).","PeriodicalId":49533,"journal":{"name":"Siberian Mathematical Journal","volume":"22 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Coercive Estimate for the Nonhomogeneous Differential Operator on the Heisenberg Group\",\"authors\":\"D. V. Isangulova\",\"doi\":\"10.1134/s0037446624030157\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We construct some linear nonhomogeneous differential operator \\\\( \\\\mathcal{Q} \\\\) on the Heisenberg group\\nwhose kernel is interconnected with the Lie algebra of the group of conformal mappings.\\nIn more detail, the kernel of \\\\( \\\\mathcal{Q} \\\\) coincides with first two coordinate functions of mappings of\\nthe Lie algebra of conformal mappings.\\nWe derive the integral representation formula and\\ngive a coercive estimate for \\\\( \\\\mathcal{Q} \\\\).\",\"PeriodicalId\":49533,\"journal\":{\"name\":\"Siberian Mathematical Journal\",\"volume\":\"22 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-05-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Siberian Mathematical Journal\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1134/s0037446624030157\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Siberian Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0037446624030157","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

我们构造了海森堡群上的线性非均质微分算子\( \mathcal{Q} \)，它的核与共形映射群的李代数相互关联。更详细地说，\( \mathcal{Q} \)的核与共形映射的李代数的映射的前两个坐标函数重合。我们推导出了\( \mathcal{Q} \)的积分表示公式并给出了\( \mathcal{Q} \)的强制估计。

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

A Coercive Estimate for the Nonhomogeneous Differential Operator on the Heisenberg Group

We construct some linear nonhomogeneous differential operator \( \mathcal{Q} \) on the Heisenberg group whose kernel is interconnected with the Lie algebra of the group of conformal mappings. In more detail, the kernel of \( \mathcal{Q} \) coincides with first two coordinate functions of mappings of the Lie algebra of conformal mappings. We derive the integral representation formula and give a coercive estimate for \( \mathcal{Q} \).

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

Siberian Mathematical Journal 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Siberian Mathematical Journal is journal published in collaboration with the Sobolev Institute of Mathematics in Novosibirsk. The journal publishes the results of studies in various branches of mathematics.