论文标题

分数gagliardo-nirenberg插值不平等和有限的平均振荡

Fractional Gagliardo-Nirenberg interpolation inequality and bounded mean oscillation

论文作者

Van Schaftingen, Jean

论文摘要

我们证明了Gagliardo-Nirenberg的插值不平等,从界的平均振荡半决器和Sobolev Semi-Norm估算了Sobolev Memi-norm,其中一些Sobolev半按具有分数的Sobolev半音符。

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.

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