关于CR Paneitz算子核的一个注记
A Remark on the Kernel of the CR Paneitz operator
摘要:
对于三维CR结构,CR多重调和函数的特征是三阶算子为零。这个三阶算子与散度算子复合后,给出了Paneitz算子的四阶类似物。本文给出了CR Paneitz算子的核包含CR多重调和函数的补充空间的判别准则。
英文摘要:
For CR structures in dimension three, the CR pluriharmonic functions are characterized by the vanishing of a third order operator. This third order operator, after composition with the divergence operator, gives the fourth order analogue of the Paneitz operator. In this short note, we give criteria under which the kernel of the CR Paneitz operator contains a supplementary space to the CR pluriharmonic functions.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。