{"title":"Macroscopic dimension of the $ell^p$-ball with respect to the $ell^q$-norm","authors":"M. Tsukamoto","doi":"10.1215/KJM/1250271421","DOIUrl":"https://doi.org/10.1215/KJM/1250271421","url":null,"abstract":"We show estimates of the \"macroscopic dimension\" of the $ell^p$-ball with respect to the $ell^q$-norm.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"445-454"},"PeriodicalIF":0.0,"publicationDate":"2008-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1250271421","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088602","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The jacobian problem for singular surfaces","authors":"R. Gurjar, Masayashi Miyanishi","doi":"10.1215/KJM/1250271317","DOIUrl":"https://doi.org/10.1215/KJM/1250271317","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"143 1","pages":"757-764"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1250271317","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66087860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On lie algebras of K-invariant functions","authors":"I. Toure, Kinvi Kangni","doi":"10.1215/KJM/1250271320","DOIUrl":"https://doi.org/10.1215/KJM/1250271320","url":null,"abstract":"Let G be a locally compact group and let K be a compact subgroup of Aut ( G ), the group of automorphisms of G . ( G, K ) is a Gelfand pair if the algebra L 1 K ( G ) of K-invariant integrable functions on G is commu-tative under convolution. In this paper, we give some charactezations of this algebra in the nilpotent case, which generalize some results obtained by C. Benson, J. Jenkins, G. Ratcliff in [1] and obtain a new criterion for Gelfand pairs.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"847-855"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66087885","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Necessary and sufficient conditions such that extended mean values are Schur-convex or Schur-concave","authors":"Y. Chu, Xiaoming Zhang","doi":"10.1215/KJM/1250280982","DOIUrl":"https://doi.org/10.1215/KJM/1250280982","url":null,"abstract":"In the article, established are necessary and sufficient conditions such that the extended mean values are Schur-convex and Schur-concave.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"229-238"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1250280982","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088336","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Existence and uniqueness of fixed points for mixed monotone multivalued operators in Banach spaces","authors":"M. Shen, Shihuang Hong","doi":"10.1215/KJM/1250271417","DOIUrl":"https://doi.org/10.1215/KJM/1250271417","url":null,"abstract":"In this paper, the existence and approximation of fixed points for two classes of systems of mixed monotone (downward and upward) multivalued operators are discussed. We present some new fixed point theorems of mixed monotone(downward and upward)operators which need not be continuous and compact. We also indicate the condition to ensure the uniqueness of the fixed point. At last we get some applications of our theorems.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"373-381"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088556","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Locally Stein domains over holomorphically convex manifolds","authors":"V. Vâjâitu","doi":"10.1215/KJM/1250280978","DOIUrl":"https://doi.org/10.1215/KJM/1250280978","url":null,"abstract":"Let π : Y −→ X be a domain over a complex space X . Assume that π is locally Stein. Then we show that Y is Stein provided that X is Stein and either there is an open set W containing X sing with π − 1 ( W ) Stein or π is locally hyperconvex over any point in X sing . In the same vein we show that, if X is q -complete and X has isolated singularities, then Y results q -complete.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088264","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Thin Schubert cells of codimension two","authors":"Shinsuke Odagiri","doi":"10.1215/KJM/1250271412","DOIUrl":"https://doi.org/10.1215/KJM/1250271412","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"265-275"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1250271412","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088431","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A generalization of Matsushima’s embedding theorem","authors":"T. Ohsawa","doi":"10.1215/KJM/1250271418","DOIUrl":"https://doi.org/10.1215/KJM/1250271418","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088568","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Estimates on the effective resistance in a long-range percolation on ${mathbb{Z}}^d$","authors":"Jun Misumi","doi":"10.1215/KJM/1250271419","DOIUrl":"https://doi.org/10.1215/KJM/1250271419","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"389-400"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088579","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Study of group orders of elliptic curves","authors":"Hidemi Sakagawa","doi":"10.1215/KJM/1250271315","DOIUrl":"https://doi.org/10.1215/KJM/1250271315","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"725-746"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66087800","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}