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

DOI10.1186/s13660-015-0617-4zbMath1311.81125OpenAlexW2123597543WikidataQ59424758 ScholiaQ59424758MaRDI QIDQ2263150

Ying-Xiong Xiao

Publication date: 17 March 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0617-4

zbMATH Keywords

Heisenberg groupHardy inequalityAharonov-Bohm magnetic field

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Nilpotent and solvable Lie groups (22E25) Subelliptic equations (35H20)

Related Items (3)

Picone's identity for biharmonic operators on Heisenberg group and its applications ⋮ Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group ⋮ Picone's identity on hyperbolic space and its applications

Cites Work

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• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Hardy type inequalities related to Carnot-Carathéodory distance on the Heisenberg group
• Hardy inequalities for a magnetic Grushin operator with Aharonov–Bohm type magnetic field

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