Тип публикации: статья из журнала

Год издания: 2018

Идентификатор DOI: 10.1063/1.5022121

Аннотация: We study functional and spectral properties of perturbations of the operator -(partial derivative(s) + ia)(2) in L-2(S-1). This operator appears when considering the restriction to the unit circle of a two-dimensional Schrodinger operator with the Bohm-Aharonov vector potential. We prove a Hardy-type inequality on R-2 and, on S-1, Показать полностьюa sharp interpolation inequality and a sharp Keller-Lieb-Thirring inequality. Published by AIP Publishing.

Журнал: JOURNAL OF MATHEMATICAL PHYSICS

Выпуск журнала: Vol. 59, Is. 5

Номера страниц: 51504

ISSN журнала: 00222488

Место издания: MELVILLE

Издатель: AMER INST PHYSICS

• Dolbeault Jean (Univ Paris 09, PSL Res Univ, CEREMADE CNRS UMR 7534, Pl Lattre Tassigny, F-75775 Paris 16, France)
• Esteban Maria J. (Univ Paris 09, PSL Res Univ, CEREMADE CNRS UMR 7534, Pl Lattre Tassigny, F-75775 Paris 16, France)
• Laptev Ari (Imperial Coll London, Dept Math, Huxley Bldg,180 Queens Gate, London SW7 2AZ, England; Siberian Fed Univ, Dept Math, Krasnoyarsk, Russia)
• Loss Michael (Georgia Inst Technol, Sch Math, Skiles Bldg, Atlanta, GA 30332 USA)

• Web of Science Core Collection
• Scopus