{"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}
引用次数: 3
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.
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