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arxiv: 1712.08829 · v1 · pith:72O2Q3ETnew · submitted 2017-12-23 · 🧮 math.CA

On the sharp constant in "magnetic" 1D embedding theorem

classification 🧮 math.CA
keywords constantembeddingmagneticsharptheoremcasedefinedenergy
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We study the sharp constant in the embedding theorem $H^1(0,2\pi)\to L_q(0,2\pi)$ in the case where the norm in $H^1(0,2\pi)$ is defined via the energy of a 1D magnetic Schr\"odinger operator.

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