Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups (Q1688737)
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| Language | Label | Description | Also known as |
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| English | Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups |
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Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups (English)
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11 January 2018
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The authors are concerned with new versions of Caffarelli-Kohn-Nirenberg and weighted \(L^p\)-Sobolev type inequalities on stratified Lie groups. All inequalities presented in the paper are obtained with sharp constants. In case of \(L^2\) norm, an equivalence of the Sobolev type inequality and Hardy inequality is shown.
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Sobolev type inequality
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Hardy inequality
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Caffarelli-Kohn-Nirenberg inequality
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stratified Lie group
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