A. P. Shcheglova

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20172026

most citedSteklov-type 1D inequalities (a survey)

3 citations · 6 across the 4 of their papers we have counts for

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math.CA2021★ 3 cited

Steklov-type 1D inequalities (a survey)

Alexander I. Nazarov, Alexandra P. Shcheglova

We give a survey of classical and recent results on sharp constants and symmetry/asymmetry of extremal functions in $1$ -dimensional functional inequalities.

math.CA2017★ 3 cited

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

A. I. Nazarov, A. P. Scheglova

We study the sharp constant in the embedding theorem $H^{1} (0, 2 π) \to L_{q} (0, 2 π)$ in the case where the norm in $H^{1} (0, 2 π)$ is defined via the energy of a 1D magnetic Schrödinger opera…