Pub Date : 2023-06-05DOI: 10.4153/s0008439523000450
Qiaoling Xia
Let ( M, F, m ) be a forward complete Finsler measure space. In this paper, we prove that any nonnegative global subsolution in L p ( M )( p > 1) to the heat equation on R + × M is uniquely determined by the initial data. Moreover, we give an L p (0 < p ≤ 1) Liouville type theorem for nonnegative subsolutions u to the heat equation on R × M by establishing the local L p mean value inequality for u on M with Ric N ≥ − K ( K ≥ 0).
{"title":"Uniqueness of subsolutions to the heat equation on Finsler measure spaces","authors":"Qiaoling Xia","doi":"10.4153/s0008439523000450","DOIUrl":"https://doi.org/10.4153/s0008439523000450","url":null,"abstract":"Let ( M, F, m ) be a forward complete Finsler measure space. In this paper, we prove that any nonnegative global subsolution in L p ( M )( p > 1) to the heat equation on R + × M is uniquely determined by the initial data. Moreover, we give an L p (0 < p ≤ 1) Liouville type theorem for nonnegative subsolutions u to the heat equation on R × M by establishing the local L p mean value inequality for u on M with Ric N ≥ − K ( K ≥ 0).","PeriodicalId":55280,"journal":{"name":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44150145","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-29DOI: 10.4153/s0008439523000437
S. Charpentier, K. Fouchet, R. Zarouf
{"title":"ON THE CONDITION NUMBER OF A KREISS MATRIX","authors":"S. Charpentier, K. Fouchet, R. Zarouf","doi":"10.4153/s0008439523000437","DOIUrl":"https://doi.org/10.4153/s0008439523000437","url":null,"abstract":"","PeriodicalId":55280,"journal":{"name":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45247919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-15DOI: 10.4153/s0008439523000371
Oleg Asipchuk, Vladyslav Drezels
{"title":"Examples of exponential bases on union of intervals","authors":"Oleg Asipchuk, Vladyslav Drezels","doi":"10.4153/s0008439523000371","DOIUrl":"https://doi.org/10.4153/s0008439523000371","url":null,"abstract":"","PeriodicalId":55280,"journal":{"name":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48079607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-05-05DOI: 10.4153/s0008439523000279
J. Mashreghi, F. Andreatta, K. Bringmann, S. Wang, Hannah K. Larson, Masanari Kida, I. Pesenson
{"title":"BCM volume 66 issue 2 Cover and Front matter","authors":"J. Mashreghi, F. Andreatta, K. Bringmann, S. Wang, Hannah K. Larson, Masanari Kida, I. Pesenson","doi":"10.4153/s0008439523000279","DOIUrl":"https://doi.org/10.4153/s0008439523000279","url":null,"abstract":"","PeriodicalId":55280,"journal":{"name":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","volume":" ","pages":"f1 - f4"},"PeriodicalIF":0.6,"publicationDate":"2023-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42226397","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-17DOI: 10.4153/s0008439523000292
Marouane Bourass, I. Marrhich, F. Mkadmi
Abstract We characterize the membership in the Schatten ideals $mathcal {S}_p$ , $0
{"title":"Composition operators on weighted analytic spaces","authors":"Marouane Bourass, I. Marrhich, F. Mkadmi","doi":"10.4153/s0008439523000292","DOIUrl":"https://doi.org/10.4153/s0008439523000292","url":null,"abstract":"Abstract We characterize the membership in the Schatten ideals \u0000$mathcal {S}_p$\u0000 , \u0000$0<p<infty $\u0000 , of composition operators acting on weighted Dirichlet spaces. Our results concern a large class of weights. In particular, we examine the case of perturbed superharmonic weights. Characterization of composition operators acting on weighted Bergman spaces to be in \u0000$mathcal {S}_p$\u0000 is also given.","PeriodicalId":55280,"journal":{"name":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43268441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-11DOI: 10.4153/s0008439523000255
{"title":"On the effective, nef and semi-ample monoids of blow-ups of Hirzebruch surfaces at collinear points","authors":"","doi":"10.4153/s0008439523000255","DOIUrl":"https://doi.org/10.4153/s0008439523000255","url":null,"abstract":"","PeriodicalId":55280,"journal":{"name":"Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48134775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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