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arXiv · 1712.08829

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

A. I. Nazarov·A. P. Scheglova
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Abstract

We study the sharp constant in the embedding theorem $H^1(0,2π)\to L_q(0,2π)$ in the case where the norm in $H^1(0,2π)$ is defined via the energy of a 1D magnetic Schrödinger operator.

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A. I. Nazarov, A. P. Scheglova. 2017-12-23. On the sharp constant in "magnetic" 1D embedding theorem. https://doi.org/10.1134/s1061920818010065

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