On vector-valued curves that allow a C 1,α parametrization

被引：3
|
作者：
Duda, J. [1 ]
Zajicek, L. [2 ]
机构：
[1] PIRA Energy Grp, New York, NY 10016 USA
[2] Charles Univ Prague, Fac Math & Phys, Prague 18675 8, Czech Republic
来源：
ACTA MATHEMATICA HUNGARICA | 2010年 / 127卷 / 1-2期
关键词：
curve in Banach spaces; parametrization with a Holder derivative; direrentiability via homeomorphisms; SPACES; DIFFERENTIABILITY;
D O I：
10.1007/s10474-010-9094-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X be a Banach space and alpha a (0, 1]. We find equivalent conditions for a function f: [0,1] -> X to admit an equivalent parametrization, which is C (1,alpha) (i.e., has alpha-Holder derivative). For X = a"e, a characterization is well-known. However, even in the case X = a"e(2) several new ideas are needed.
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页码：85 / 111
页数：27
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