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arXiv 1002.1331math.AP
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关于非光滑向量场的提升与逼近定理

On the lifting and approximation theorem for nonsmooth vector fields

Marco Bramanti, Luca Brandolini, Marco Pedroni

摘要:

在非光滑Hormander向量场中证明了Rothschild-Stein的提升和逼近定理的一个版本以及一些相关的结果,其中最高阶算子是Holder连续的.该理论明确地涵盖了一个向量场具有权重2而其他向量场具有权重1的情况。

英文摘要:

We prove a version of Rothschild-Stein's theorem of lifting and approximation and some related results in the context of nonsmooth Hormander's vector fields for which the highest order commutators are only Holder continuous. The theory explicitly covers the case of one vector field having weight two while the others have weight one.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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