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.
Parmeggiani, A. (2025). Hypoellipticity and Loss of Derivatives of Sums of Squares of complex Vector Fields. JOURNAL OF GEOMETRIC ANALYSIS, 35(9), 1-19 [10.1007/s12220-025-02119-9].
Hypoellipticity and Loss of Derivatives of Sums of Squares of complex Vector Fields.
Alberto Parmeggiani
2025
Abstract
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.File in questo prodotto:
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