论文标题

关于惠特尼超吉特人的扩展

On the extension of Whitney ultrajets of Beurling type

论文作者

Rainer, Armin

论文摘要

我们证明了惠特尼的扩展定理的版本,并在可控性丧失的超平面性贝图林环境中。作为副产品,我们显示了在$ \ Mathbb r^n $中的任意封闭套件上的某些空间上的连续线性扩展运算符的存在。

We prove a version of Whitney's extension theorem in the ultradifferentiable Beurling setting with controlled loss of regularity. As a by-product we show the existence of continuous linear extension operators on certain spaces of Whitney ultrajets on arbitrary closed sets in $\mathbb R^n$.

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