Fractional Gagliardo-Nirenberg interpolation inequality and bounded mean oscillation
arXiv:2208.14691 · doi:10.5802/crmath.463
Abstract
We prove Gagliardo-Nirenberg interpolation inequalities estimating the Sobolev semi-norm in terms of the bounded mean oscillation semi-norm and a Sobolev semi-norm, with some of the Sobolev semi-norms having fractional order.
arXiv comment11 pages, additional references and localised higher-order interpolation, and typographical corrections