Bull. Korean Math. Soc. 2019; 56(3): 675-680
Online first article November 9, 2018 Printed May 31, 2019
https://doi.org/10.4134/BKMS.b180479
Copyright © The Korean Mathematical Society.
Ern Gun Kwon
Andong National University
We, in this note, decompose the invariant Laplacian of the unit complex ball of $\mathbb{C}^n$ by the radial part and tangential part as $$ \widetilde{\Delta}= \widetilde{\Delta}_{rad}+\widetilde{\Delta}_{tan}.$$ We give several properties and interpretations involved with this decomposition.
Keywords: invariant Laplacian, tangential and radial decomposition
MSC numbers: 35J05, 31C05, 31C10
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