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<p>In this paper I survey some recent results I obtained about the hypoellipticity of sums of squares of complex vector fields that allow for a generalization of Kohn’s Thm. A, and give a new result about hypoellipticity with a loss of many derivatives that shows that Kohn’s Thm. B holds in a more general setting.</p>

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Hypoellipticity and Loss of Derivatives of Sums of Squares of complex Vector Fields

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  • 发表日期：

    2025年7月19日

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  • Alberto Parmeggiani

摘要

In this paper I survey some recent results I obtained about the hypoellipticity of sums of squares of complex vector fields that allow for a generalization of Kohn’s Thm. A, and give a new result about hypoellipticity with a loss of many derivatives that shows that Kohn’s Thm. B holds in a more general setting.