{"title":"Weinstein变换的Laeng-Morpugo型不确定性不等式","authors":"F. Soltani, Slim Ben Rejeb","doi":"10.56754/0719-0646.2502.321","DOIUrl":null,"url":null,"abstract":"In this work, by combining Carlson-type and Nash-type inequalities for the Weinstein transform $\\mathscr{F}_W$ on $\\mathbb{K}=\\mathbb{R}^{d-1}\\times[0,\\infty)$, we show Laeng-Morpurgo-type uncertainty inequalities. We establish also local-type uncertainty inequalities for the Weinstein transform $\\mathscr{F}_W$, and we deduce a Heisenberg-Pauli-Weyl-type inequality for this transform.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Laeng-Morpurgo-type uncertainty inequalities for the Weinstein transform\",\"authors\":\"F. Soltani, Slim Ben Rejeb\",\"doi\":\"10.56754/0719-0646.2502.321\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, by combining Carlson-type and Nash-type inequalities for the Weinstein transform $\\\\mathscr{F}_W$ on $\\\\mathbb{K}=\\\\mathbb{R}^{d-1}\\\\times[0,\\\\infty)$, we show Laeng-Morpurgo-type uncertainty inequalities. We establish also local-type uncertainty inequalities for the Weinstein transform $\\\\mathscr{F}_W$, and we deduce a Heisenberg-Pauli-Weyl-type inequality for this transform.\",\"PeriodicalId\":36416,\"journal\":{\"name\":\"Cubo\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Cubo\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56754/0719-0646.2502.321\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cubo","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56754/0719-0646.2502.321","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Laeng-Morpurgo-type uncertainty inequalities for the Weinstein transform
In this work, by combining Carlson-type and Nash-type inequalities for the Weinstein transform $\mathscr{F}_W$ on $\mathbb{K}=\mathbb{R}^{d-1}\times[0,\infty)$, we show Laeng-Morpurgo-type uncertainty inequalities. We establish also local-type uncertainty inequalities for the Weinstein transform $\mathscr{F}_W$, and we deduce a Heisenberg-Pauli-Weyl-type inequality for this transform.
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