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 \(\mathbb {R}^n\).

中文翻译：

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关于Beurling型Whitney Ultrajets的扩展

我们证明了惠特尼扩展定理在超微分贝琳定律环境中的可控制性损失。作为副产品，我们显示了\（\ mathbb {R} ^ n \）中任意封闭集上的Whitney超喷射的某些空间上存在连续线性扩展算子。