On the extension of Whitney ultrajets, II

被引：19

作者：

Rainer, Armin ^{[1
]}

Schindl, Gerhard ^{[2
]}

机构：

[1] Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

[2] Univ Valladolid, Fac Ciencias, Dept Algebra Anal Matemat Geometr & Topol, Paseo Belen 7, Valladolid 47011, Spain

来源：

STUDIA MATHEMATICA | 2020年 / 250卷 / 03期

基金：

奥地利科学基金会;

关键词：

Whitney extension theorem in the ultradifferentiable setting; Roumieu type classes; controlled loss of regularity; properties of weight functions; ULTRADIFFERENTIABLE FUNCTIONS; THEOREM;

D O I：

10.4064/sm180903-12-11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the validity of the Whitney extension theorem in the ultradifferentiable Roumieu setting with controlled loss of regularity. Specifically, we show that in the main Theorem 1.3 of [Studia Math. 245 (2019), 255-287] condition (1.3) can be dropped. Moreover, we clarify some questions that remained open there.

引用

页码：283 / 295

页数：13

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