{"title":"一类广义移位次加性算子的Sobolev-Il'in不等式","authors":"S. K. Abdullayev, E. A. Mammadov","doi":"10.12988/NADE.2017.61299","DOIUrl":null,"url":null,"abstract":"We study a problem of establishment of Sobolev-Il’in inequalities type strong and weak inequalities for subadditive operators with majorizing operators from certain class of Riesz potential type integral convolutions with almost monotone kernels, generated by both ordinary and generalized shift operators, associated with Laplace-Bessel differential operator.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"148 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Sobolev-Il'in inequality for a class of generalized shift subadditive operators\",\"authors\":\"S. K. Abdullayev, E. A. Mammadov\",\"doi\":\"10.12988/NADE.2017.61299\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study a problem of establishment of Sobolev-Il’in inequalities type strong and weak inequalities for subadditive operators with majorizing operators from certain class of Riesz potential type integral convolutions with almost monotone kernels, generated by both ordinary and generalized shift operators, associated with Laplace-Bessel differential operator.\",\"PeriodicalId\":315586,\"journal\":{\"name\":\"Nonlinear Analysis and Differential Equations\",\"volume\":\"148 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis and Differential Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/NADE.2017.61299\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/NADE.2017.61299","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Sobolev-Il'in inequality for a class of generalized shift subadditive operators
We study a problem of establishment of Sobolev-Il’in inequalities type strong and weak inequalities for subadditive operators with majorizing operators from certain class of Riesz potential type integral convolutions with almost monotone kernels, generated by both ordinary and generalized shift operators, associated with Laplace-Bessel differential operator.
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