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.

引用

页码：85 / 111

页数：27

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