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Heisenberg群上的一阶带权插值不等式

First Order Interpolation Inequalities with Weights in the Heisenberg Group
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摘要 研究了一阶带权的插值不等式在Heisenberg群上成立的一个充分条件.通过建立一类Hardy型不等式,得到了Heisenberg群上的一阶带权的插值不等式.并将著名的Caf-farelli-Kohn-Nirenberg不等式部分地推广到了Heisenberg群上. The sufficient condition of the existence of first order interpolation inequalities with weights on the Heisenberg group is studied. The first order interpolation inequalities with weights are obtained by establishing a class of Hardy-type inequalities. The Caffarelli-Kohn-Nirenberg inequalities given by Caffarelli, Kohn and NirenberR are partially generalized to the Heisenberg group.
作者 钮鹏程 毛彦军
机构地区 西北工业大学应用数学系
出处 《西安工业大学学报》 CAS 2008年第2期196-198,204,共4页 Journal of Xi’an Technological University
基金 陕西省自然科学基础研究(2006A09)
关键词 HEISENBERG群 HARDY型不等式 Caffarelli-Kohn-Nirenberg不等式 PICONE恒等式 Heisenberg group Hardy-type inequality Caffarelli-Kohn-Nirenberg inequality Picone identity
分类号 O152 [理学—基础数学]
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西安工业大学学报
2008年 第2期

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