Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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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.

Decomposition of the invariant Laplacian in the complex ball

Ern Gun Kwon

Andong National University

Abstract

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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