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Hardy inequalities in half spaces of the Heisenberg group

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In this paper we prove some Hardy inequalities in the half space of the Heisenberg group and indicate the sharp constant.

Abstract

In this paper we prove some Hardy inequalities in the half space of the Heisenberg group and indicate the sharp constant.

참고문헌 (6)

  1. L. D’Ambrosio, "Some Hardy inequalities on the Heisenberg group", Differentsial'nye Uravneniya, 40(4), pp.509~521 (2004)
  2. N. Garofalo, "the uncertainty principle and unique continuation", ANNALES DE L'INSTITUT FOURIER (Grenoble), 40(2), pp.313~356 (1990)
  3. J. A. Goldstein, "On a degenerate heat equation with a singular potential", Journal of Functional Analysis, 186(2), pp.342~359 (2001)
  4. Y. Han, "Some Hardy type inequalities in the Heisenberg group", Journal of Inequalities in Pure and Applied Mathematics, 4(5), pp.1~5 (2003)
  5. P. Niu, "Hardy type and Rellich type inequalities on the Heisenberg group", Proceedings of the American Mathematical Society, 129(12), pp.3623~3630 (2001)
  6. J. Tidblom, "A Hardy inequality in the half-space", Journal of Functional Analysis, 221(2), pp.482~495 (2005)

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