{"title":"poison-JENSEN公式与测度平衡","authors":"B. Khabibullin","doi":"10.32523/2077-9879-2021-12-4-53-73","DOIUrl":null,"url":null,"abstract":"Our main results are certain developments of the classical Poisson--Jensen formula for subharmonic functions. The basis of the classical Poisson--Jensen formula is the natural duality between harmonic measures and Green's functions. Our generalizations use some duality between the balayage of measures and and their potentials.","PeriodicalId":44248,"journal":{"name":"Eurasian Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2020-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"POISSON-JENSEN FORMULAS AND BALAYAGE OF MEASURES\",\"authors\":\"B. Khabibullin\",\"doi\":\"10.32523/2077-9879-2021-12-4-53-73\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Our main results are certain developments of the classical Poisson--Jensen formula for subharmonic functions. The basis of the classical Poisson--Jensen formula is the natural duality between harmonic measures and Green's functions. Our generalizations use some duality between the balayage of measures and and their potentials.\",\"PeriodicalId\":44248,\"journal\":{\"name\":\"Eurasian Mathematical Journal\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2020-04-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Eurasian Mathematical Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.32523/2077-9879-2021-12-4-53-73\",\"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":"Eurasian Mathematical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32523/2077-9879-2021-12-4-53-73","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Our main results are certain developments of the classical Poisson--Jensen formula for subharmonic functions. The basis of the classical Poisson--Jensen formula is the natural duality between harmonic measures and Green's functions. Our generalizations use some duality between the balayage of measures and and their potentials.
期刊介绍:
Publication of carefully selected original research papers in all areas of mathematics written by mathematicians first of all from Europe and Asia. However papers by mathematicians from other continents are also welcome. From time to time Eurasian Mathematical Journal will also publish survey papers.