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Maximal inequalities and Riesz transform estimates onLpspaces for magnetic Schrödinger operators II

✍ Scribed by Ben Ali, Besma

Book ID
115477238
Publisher
Springer-Verlag
Year
2012
Tongue
French
Weight
402 KB
Volume
274
Category
Article
ISSN
0025-5874

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Eigenfunctions and Hardy inequalities fo
Eigenfunctions and Hardy inequalities for a magnetic Schrödinger operator in ℝ2
✍ Bénédicte Alziary; Jacqueline Fleckinger-Pellé; Peter Takáč 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 349 KB

## Abstract The zero set {__z__∈ℝ^2^:ψ(__z__)=0} of an eigenfunction ψ of the Schrödinger operator ℒ︁~__V__~=(i∇+**A**)^2^+__V__ on __L__^2^(ℝ^2^) with an Aharonov–Bohm‐type magnetic potential is investigated. It is shown that, for the first eigenvalue λ~1~ (the ground state energy), the following