On the sharp constant in "magnetic" 1D embedding theorem
Classical Analysis and ODEs
2018-04-04 v1
Abstract
We study the sharp constant in the embedding theorem H1(0,2π)→Lq(0,2π) in the case where the norm in H1(0,2π) is defined via the energy of a 1D magnetic Schr\"odinger operator.
Cite
@article{arxiv.1712.08829,
title = {On the sharp constant in "magnetic" 1D embedding theorem},
author = {A. I. Nazarov and A. P. Scheglova},
journal= {arXiv preprint arXiv:1712.08829},
year = {2018}
}
Comments
7 pages
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