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arXiv · 1204.2200

A note on a smoothing property of the harmonic Bergman projection

A. -K. Herbig
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Abstract

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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A. -K. Herbig. 2012-04-10. A note on a smoothing property of the harmonic Bergman projection. https://arxiv.org/abs/1204.2200

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