{"title":"关于高斯测度的一般交替奇异积分的有界性","authors":"Eduardo Navas, E. Pineda, W. Urbina","doi":"10.31390/JOSA.1.4.14","DOIUrl":null,"url":null,"abstract":"In this paper we introduce a new class of Gaussian singular integrals, the general alternative Gaussian singular integrals and study the boundedness of them in Lp( d), 1 < p < 1 and its weak (1, 1) boundedness with respect to the Gaussian measure following [7] and [1], respectively.","PeriodicalId":263604,"journal":{"name":"Journal of Stochastic Analysis","volume":"31 4-5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"The Boundedness of General Alternative Singular Integrals with Respect to the Gaussian Measure\",\"authors\":\"Eduardo Navas, E. Pineda, W. Urbina\",\"doi\":\"10.31390/JOSA.1.4.14\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we introduce a new class of Gaussian singular integrals, the general alternative Gaussian singular integrals and study the boundedness of them in Lp( d), 1 < p < 1 and its weak (1, 1) boundedness with respect to the Gaussian measure following [7] and [1], respectively.\",\"PeriodicalId\":263604,\"journal\":{\"name\":\"Journal of Stochastic Analysis\",\"volume\":\"31 4-5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Stochastic Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31390/JOSA.1.4.14\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Stochastic Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31390/JOSA.1.4.14","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
摘要
本文引入了一类新的高斯奇异积分，即一般可选高斯奇异积分，并分别研究了它们在Lp(d)， 1 < p < 1及其弱(1,1)有界性下相对于[7]和[1]的高斯测度的有界性。
The Boundedness of General Alternative Singular Integrals with Respect to the Gaussian Measure
In this paper we introduce a new class of Gaussian singular integrals, the general alternative Gaussian singular integrals and study the boundedness of them in Lp( d), 1 < p < 1 and its weak (1, 1) boundedness with respect to the Gaussian measure following [7] and [1], respectively.
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