关于Heisenberg群上的Sobolev不等式与等周不等式的等价性

The Sobolev Inequality and Isoperimetric Inequality on the Heisenberg Group H^n

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摘要研究了Heisenberg群Hn上Gagliardo-Nirenberg-Sobolev不等式与等周不等式的等价性,给出了等价性证明. In this paper,the equivalence of the Gagliardo-Nirenberg-Sobolev inequality and the isoperimetric inequality on the Heisenberg group Hn are studied and the proof of the equivalence is given.

作者朱新河

机构地区天津工业大学数学系

出处《五邑大学学报（自然科学版）》 CAS 2006年第4期42-46,共5页 Journal of Wuyi University(Natural Science Edition)

关键词 HEISENBERG群 SOBOLEV不等式等周不等式 Heisenberg group Sobolev inequality Isoperimetric inequality

分类号 O178 [理学—基础数学]

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五邑大学学报（自然科学版）

2006年第4期

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关于Heisenberg群上的Sobolev不等式与等周不等式的等价性

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