| RUZHANSKY M, SURAGAN D. Hardy Inequalities on Homogeneous Groups[M]. Cham: Springer International Publishing, 2019. |
| 王胜军, 窦井波. Heisenberg型群上的广义Picone恒等式及其应用[J]. 西南大学学报(自然科学版), 2020, 42(2): 48-54. |
| KOMBE I. Sharp Weighted Rellich and Uncertainty Principle Inequalities on Carnot Groups[J]. Communications in Applied Analysis, 2010, 14(2): 251-272. |
| RUZHANSKY M, SURAGAN D. Hardy and Rellich Inequalities, Identities, and Sharp Remainders on Homogeneous Groups[J]. Advances in Mathematics, 2017, 317: 799-822. doi: 10.1016/j.aim.2017.07.020 |
| ZHANG H Q, NIU P C. Hardy-Type Inequalities and Pohozaev-Type Identities for a Class of P-Degenerate Subelliptic Operators and Applications[J]. Nonlinear Analysis: Theory, Methods & Applications, 2003, 54(1): 165-186. |
| GAROFALO N, LANCONELLI E. Frequency Functions on the Heisenberg Group, the Uncertainty Principle and Unique Continuation[J]. Annales De l'Institut Fourier, 1990, 40(2): 313-356. doi: 10.5802/aif.1215 |
| D'AMBROSIO L. Hardy-Type Inequalities Related to Degenerate Elliptic Differential Operators[J]. Annali Scuola Normale Superiore-Classe Di Scienze, 2009, 4(5): 451-486. |
| DOU J B, NIU P C, YUAN Z X. A Hardy Inequality with Remainder Terms in the Heisenberg Group and the Weighted Eigenvalue Problem[J]. Journal of Inequalities and Applications, 2007, 2007(1): 032585. doi: 10.1155/2007/32585 |
| XI L, DOU J B. Some Weighted Hardy and Rellich Inequalities on the Heisenberg Group[J]. International Journal of Mathematics, 2021, 32(3): 2150011. doi: 10.1142/S0129167X21500117 |
| GREINER P C. A Fundamental Solution for a Nonelliptic Partial Differential Operator[J]. Canadian Journal of Mathematics, 1979, 31(5): 1107-1120. doi: 10.4153/CJM-1979-101-3 |
| BEALS R, GAVEAU B, GREINER P. On a Geometric Formula for the Fundamental Solution of Subelliptic Laplacians[J]. Mathematische Nachrichten, 1996, 181(1): 81-163. doi: 10.1002/mana.3211810105 |
| NIU P C, OU Y F, HAN J Q. Several Hardy Type Inequalities with Weights Related to Generalized Greiner Operator[J]. Canadian Mathematical Bulletin, 2010, 53(1): 153-162. doi: 10.4153/CMB-2010-029-9 |
| BEALS R, GREINER P, GAVEAU B. Green's Functions for some Highly Degenerate Elliptic Operators[J]. Journal of Functional Analysis, 1999, 165(2): 407-429. doi: 10.1006/jfan.1999.3421 |
| BEALS R, GAVEAU B, GREINER P. Uniforms Hypoelliptic Green's Functions[J]. Journal De Mathématiques Pures et Appliquées, 1998, 77(3): 209-248. doi: 10.1016/S0021-7824(98)80069-X |
| FOLLAND G B. A Fundamental Solution for a Subelliptic Operator[J]. Bulletin of the American Mathematical Society, 1973, 79(2): 373-376. doi: 10.1090/S0002-9904-1973-13171-4 |
| GAROFALO N, SHEN Z W. Absence of Positive Eigenvalues for a Class of Subelliptic Operators[J]. Mathematische Annalen, 1996, 304(1): 701-715. doi: 10.1007/BF01446315 |