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arXiv · 2505.11801

Relations between different types of Hypoellipticity: A systematic approach

Bruno de Lessa Victor·Luis F. Ragognette
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Abstract

We give a systematic treatment to the concept of hypoellipticity, putting it into an abstract form which allows us to deal with several different notions within the same framework. We then investigate when a notion of hypoellipticity implies another one and, in particular, when it can be extended for more general spaces. We also present a relation between certain types of hypoellipticity and local solvability (for the transpose) for a family of operators.

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Bruno de Lessa Victor, Luis F. Ragognette. 2025-05-17. Relations between different types of Hypoellipticity: A systematic approach. https://arxiv.org/abs/2505.11801

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