A note on a smoothing property of the harmonic Bergman projection

Details A note on a smoothing property of the harmonic Bergman projection A note on a smoothing property of the harmonic Bergman projection

2012-04-10

arxiv.org/abs/1204.2200v1

Mathematics

Complex Variables

Scientific paper

It is proved that on any smoothly bounded domain $D$ in $\mathbb{R}^n$,
$n>1$, the output of the harmonic Bergman projection belongs to the Sobolev
space of order $k$ whenever all tangential derivatives of order up to k of the
input function belong to $L^2(D)$.

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