# On CR Paneitz operators and CR pluriharmonic functions

@article{Hsiao2014OnCP,
title={On CR Paneitz operators and CR pluriharmonic functions},
author={Chin-Yu Hsiao},
journal={Mathematische Annalen},
year={2014},
volume={362},
pages={903-929}
}
• Chin-Yu Hsiao
• Published 1 May 2014
• Mathematics
• Mathematische Annalen
Let $$(X,T^{1,0}X)$$(X,T1,0X) be a compact orientable embeddable three dimensional strongly pseudoconvex CR manifold and let $$\mathrm{P}$$P be the associated CR Paneitz operator. In this paper, we show that (I) $${\mathrm{P}}$$P is self-adjoint and $$\mathrm{P}$$P has $$L^2$$L2 closed range. Let $$N$$N and $$\Pi$$Π be the associated partial inverse and the orthogonal projection onto $$\mathrm{Ker}\,\mathrm{P}$$KerP respectively, then $$N$$N and $$\Pi$$Π enjoy some regularity properties. (II…
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