Weighted Caffarelli-Kohn-Nirenberg type inequality on the Heisenberg group

Yazhou Han ()
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Yazhou Han: College of Science, China Jiliang University

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 2, 147-161

Abstract: Abstract This work is devoted to establish a class of Caffarelli-Kohn-Nirenberg type inequalities on the Heisenberg group. Inspired by the idea of Chern and Lin, a function transformation is introduced. Combining some elementary inequalities and some accurate estimates, we establish a class of weighted Hardy-Sobolev type inequalities and then obtain our main result, namely Caffarelli-Kohn-Nirenberg type inequalities on the Heisenberg group.

Keywords: Weighted Hardy-Sobolev type inequality; Caffarelli-Kohn-Nirenberg type inequality; Heisenberg group (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s13226-015-0118-7

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