海森堡群上非均质微分算子的强制估计

Pub Date : 2024-05-29 DOI:10.1134/s0037446624030157

D. V. Isangulova

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引用次数: 0

摘要

我们构造了海森堡群上的线性非均质微分算子\( \mathcal{Q} \)，它的核与共形映射群的李代数相互关联。更详细地说，\( \mathcal{Q} \)的核与共形映射的李代数的映射的前两个坐标函数重合。我们推导出了\( \mathcal{Q} \)的积分表示公式并给出了\( \mathcal{Q} \)的强制估计。

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A Coercive Estimate for the Nonhomogeneous Differential Operator on the Heisenberg Group

We construct some linear nonhomogeneous differential operator \( \mathcal{Q} \) on the Heisenberg group whose kernel is interconnected with the Lie algebra of the group of conformal mappings. In more detail, the kernel of \( \mathcal{Q} \) coincides with first two coordinate functions of mappings of the Lie algebra of conformal mappings. We derive the integral representation formula and give a coercive estimate for \( \mathcal{Q} \).

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