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HARDY INEQUALITIES IN HALF SPACES OF THE HEISENBERG GROUP
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 Title & Authors
HARDY INEQUALITIES IN HALF SPACES OF THE HEISENBERG GROUP
Han, JunQiang; Niu, Pengcheng; Qin, Wenji;
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 Abstract
In this paper we prove some Hardy inequalities in the half space of the Heisenberg group and indicate the sharp constant.
 Keywords
Hardy inequality;half space;Heisenberg group;
 Language
English
 Cited by
1.
Some Weighted Hardy-Type Inequalities on Anisotropic Heisenberg Groups, Journal of Inequalities and Applications, 2011, 2011, 1, 924840  crossref(new windwow)
2.
Picone’s identity for biharmonic operators on Heisenberg group and its applications, Nonlinear Differential Equations and Applications NoDEA, 2016, 23, 2  crossref(new windwow)
 References
1.
L. D'Ambrosio, Some Hardy inequalities on the Heisenberg group, Differ. Uravn. 40 (2004), no. 4, 509-521, 575

2.
L. D'Ambrosio, Some Hardy inequalities on the Heisenberg group, translation in Differ. Equ. 40 (2004), no. 4, 552-564 crossref(new window)

3.
N. Garofalo and E. Lanconelli, Frequency functions on the Heisenberg group, the uncertainty principle and unique continuation, Ann. Inst. Fourier (Grenoble) 40 (1990), no. 2, 313-356 crossref(new window)

4.
J. A. Goldstein and Q. S. Zhang, On a degenerate heat equation with a singular potential, J. Funct. Anal. 186 (2001), no. 2, 342-359 crossref(new window)

5.
Y. Han and P. Niu, Some Hardy type inequalities in the Heisenberg group, JIPAM. J. Inequal. Pure Appl. Math. 4 (2003), no. 5, 1-5

6.
P. Niu, H. Zhang, and Y. Wang, Hardy type and Rellich type inequalities on the Heisenberg group, Proc. Amer. Math. Soc. 129 (2001), no. 12, 3623-3630

7.
J. Tidblom, A Hardy inequality in the half-space, J. Funct. Anal. 221 (2005), no. 2, 482-495 crossref(new window)