We show estimates of the "macroscopic dimension" of the $ell^p$-ball with respect to the $ell^q$-norm.
我们展示的估计的“宏观维度”^ p 拼球美元对美元魔法^问范数美元。
{"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}
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.
设G是一个局部紧群设K是Aut (G)的紧子群，G的自同构群。如果G上K不变可积函数的代数l1k (G)在卷积下是可交换的，则(G, K)是一个Gelfand对。本文给出了该代数在幂零情况下的一些性质，推广了C. Benson, J. Jenkins, G. Ratcliff在[1]中得到的一些结果，得到了Gelfand对的一个新判据。
{"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}
In the article, established are necessary and sufficient conditions such that the extended mean values are Schur-convex and Schur-concave.
本文建立了扩展平均值为schur -凸和schur -凹的充分必要条件。
{"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}
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.
{"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}
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.
{"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}
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