Lipschitz classes on local fields

作     者：Wei-yi SU~(1+) Guo-xiang CHEN~2 1 Department of Mathematics,Nanjing University,Nanjing 210093,China 2 Department of Mathematics,Nanjing Audit University,Nanjing 211815,China 

作者机构：Department of Mathematics Nanjing University Nanjing China Department of Mathematics Nanjing Audit University Nanjing China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2007年第50卷第7期

页      面：1005-1014页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This work supported by the National Natural Science Foundation of China(Grant No.10571084) 

主　　题：local field Holder type space Lipschitz class Cantor type fractal function 11F85 46F05 43A25 28A80 28A78 

摘      要：The Lipschitz class Lipαon a local field K is defined in this note,and the equivalent relationship between the Lipschitz class Lipαand the Holder type space C~α(K)is ***,those important characteristics on the Euclidean space R^n and the local field K are compared,so that one may interpret the essential differences between the analyses on R^n and ***,the Cantor type fractal functionθ(x)is showed in the Lipschitz class Lip(m,K),m(ln 2/ln 3).