Hardy inequalities with Aharonov-Bohm type magnetic field on the Heisenberg group

Author:

Xiao Yingxiong

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference14 articles.

1. Laptev A, Weidl T: Hardy inequalities for magnetic Dirichlet forms. In Mathematical Results in Quantum Mechanics. Birkhäuser, Basel; 1999:299–305. (Prague, 1998) 10.1007/978-3-0348-8745-8_28

2. Aermark L, Laptev A: Hardy’s inequality for the Grushin operator with a magnetic field of Aharanov-Bohm type. Algebra Anal. 2011,23(2):1–8. English transl.: St. Petersbg. Math. J. 23(2), 203–208 (2012)

3. D’Ambrosio L, Hardy S: Inequalities on the Heisenberg group. Differ. Uravn. 2004,40(4):509–521. English transl.: Differ. Equ. 40(4), 552–564 (2004)

4. Garofallo N, Lanconelli E: Frequency functions on Heisenberg group, the uncertainty principle and unique continuation. Ann. Inst. Fourier (Grenoble) 1990, 40: 313–356. 10.5802/aif.1215

5. Lian B, Yang Q, Yang F: Some weighted Hardy-type inequalities on anisotropic Heisenberg groups. J. Inequal. Appl. 2011., 2011: Article ID 924840 10.1155/2011/924840

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