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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.
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참고문헌 (4)
참고문헌 신청
E. G. Kwon / 2017 / Decomposition of the Laplacian and pluriharmonic Bloch functions / Filomat 31(1):97~102
권언근 / 2013 / On M-subharmonicity in the ball / 대한수학회논문집 28(3):511~516
W. Rudin / 1980 / Function Theory in the Unit Ball of Cn / Springer-Verlag
M. Stoll / 1994 / Invariant Potential Theory in the Unit Ball of Cn / Cambridge University Press
권언근 / 2013 / On M-subharmonicity in the ball / 대한수학회논문집 28(3):511~516
W. Rudin / 1980 / Function Theory in the Unit Ball of Cn / Springer-Verlag
M. Stoll / 1994 / Invariant Potential Theory in the Unit Ball of Cn / Cambridge University Press
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