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Best constants in the Hardy-Rellich type inequalities on the Heisenberg group
Authors:Qiaohua Yang
Affiliation:Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, PO Box 71010, Wuhan, People's Republic of China
Abstract:We prove some sharp Hardy-Rellich inequalities on the Heisenberg group, using the method given by D.G. Costa in [D.G. Costa, Some new and short proofs for a class of Caffarelli-Kohn-Nirenberg type inequalities, J. Math. Anal. Appl. 337 (2008) 311-317].
Keywords:Hardy-Rellich inequalities   Heisenberg group   Sharp constants
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