{"title":"与Hermite算子相关的Carleson测度的一个新版本。","authors":"Jizheng Huang, Yaqiong Wang, Weiwei Li","doi":"10.1186/s13660-018-1771-2","DOIUrl":null,"url":null,"abstract":"<p><p>Let <math><mi>L</mi><mo>=</mo><mo>-</mo><mi>Δ</mi><mo>+</mo><msup><mrow><mo>|</mo><mi>x</mi><mo>|</mo></mrow><mn>2</mn></msup></math> be a Hermite operator, where Δ is the Laplacian on <math><msup><mi>R</mi><mi>d</mi></msup></math> . In this paper we define a new version of Carleson measure associated with Hermite operator, which is adapted to the operator <i>L</i>. Then, we will use it to characterize the dual spaces and predual spaces of the Hardy spaces <math><msubsup><mi>H</mi><mi>L</mi><mi>p</mi></msubsup><mo>(</mo><msup><mi>R</mi><mi>d</mi></msup><mo>)</mo></math> associated with <i>L</i>.</p>","PeriodicalId":49163,"journal":{"name":"Journal of Inequalities and Applications","volume":"2018 1","pages":"177"},"PeriodicalIF":1.6000,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13660-018-1771-2","citationCount":"2","resultStr":"{\"title\":\"A new version of Carleson measure associated with Hermite operator.\",\"authors\":\"Jizheng Huang, Yaqiong Wang, Weiwei Li\",\"doi\":\"10.1186/s13660-018-1771-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>Let <math><mi>L</mi><mo>=</mo><mo>-</mo><mi>Δ</mi><mo>+</mo><msup><mrow><mo>|</mo><mi>x</mi><mo>|</mo></mrow><mn>2</mn></msup></math> be a Hermite operator, where Δ is the Laplacian on <math><msup><mi>R</mi><mi>d</mi></msup></math> . In this paper we define a new version of Carleson measure associated with Hermite operator, which is adapted to the operator <i>L</i>. Then, we will use it to characterize the dual spaces and predual spaces of the Hardy spaces <math><msubsup><mi>H</mi><mi>L</mi><mi>p</mi></msubsup><mo>(</mo><msup><mi>R</mi><mi>d</mi></msup><mo>)</mo></math> associated with <i>L</i>.</p>\",\"PeriodicalId\":49163,\"journal\":{\"name\":\"Journal of Inequalities and Applications\",\"volume\":\"2018 1\",\"pages\":\"177\"},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2018-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1186/s13660-018-1771-2\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Inequalities and Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1186/s13660-018-1771-2\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2018/7/16 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Inequalities and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1186/s13660-018-1771-2","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2018/7/16 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
A new version of Carleson measure associated with Hermite operator.
Let be a Hermite operator, where Δ is the Laplacian on . In this paper we define a new version of Carleson measure associated with Hermite operator, which is adapted to the operator L. Then, we will use it to characterize the dual spaces and predual spaces of the Hardy spaces associated with L.
期刊介绍：
The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.
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