Affine Poisson & Non-Poisson trace principles for $\dot{H}^{-1<-\alpha\le-\frac12}(\R^{n-1})$

Jie Xiao; Nico Lombardi

arxiv: 1808.08919 · v3 · pith:JZPYQO6Lnew · submitted 2018-08-27 · 🧮 math.AP

Affine Poisson & Non-Poisson trace principles for dot{H}^(-1<-αle-frac12)(R^(n-1))

Nico Lombardi , Jie Xiao This is my paper

classification 🧮 math.AP

keywords affinetracealphaantiderivativediscoversfrac12fractionalfunction

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This note discovers not only an affine non-sharp-Poisson trace inequality but also its sharp-non-Poisson version for a Sobolev function with the fractional antiderivative.

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Affine Poisson & Non-Poisson trace principles for dot{H}^(-1<-αle-frac12)(R^(n-1))

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