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

A. I. Nazarov, A. P. Scheglova

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 Schrödinger opera…