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Hardy inequalities for magnetic Dirichlet forms

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Mathematical Results in Quantum Mechanics

Part of the book series: Operator Theory Advances and Applications ((OT,volume 108))

Abstract

It is known that the classical Hardy inequality fails in ℝ.We show that under certain non-degeneracy conditions on vector potentials, the Hardy inequality becomes possible for the corresponding magnetic Dirichlet form.

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© 1999 Springer Basel AG

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Laptev, A., Weidl, T. (1999). Hardy inequalities for magnetic Dirichlet forms. In: Dittrich, J., Exner, P., Tater, M. (eds) Mathematical Results in Quantum Mechanics. Operator Theory Advances and Applications, vol 108. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8745-8_28

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  • DOI: https://doi.org/10.1007/978-3-0348-8745-8_28

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9754-9

  • Online ISBN: 978-3-0348-8745-8

  • eBook Packages: Springer Book Archive

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