Weighted Rellich Inequality on H-Type Groups and Nonisotropic Heisenberg Groups
نویسندگان
چکیده
The study of partial differential operators constructed from noncommutative vector fields satisfying the Hörmander condition 1 has hadmuch development. We refer to 2, 3 and the references therein for a systematic account of the study. Recently there have been considerable interests in studying the sub-Laplacians as square sums of vector fields that are not invariant or do not satisfy the Hörmander condition. Among the examples of such sub-Laplacians are the Grushin operators, Greiner-type operators, and the sub-Laplacian constructed by Kohn 4 . Those noninvariant sub-Laplacians also appear naturally in complex analysis. In 5 Beals et al. considered the CR operators {Zj, Zj} n j 1 on R 2n 1 as boundary of the complex domain
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