A priori estimates and Fredholm criteria for a class of regular hypoelliptic operators

A. G. Tumanyan

Matematičeskie trudy, Tome 25 (2022) no. 2, pp. 220-240.

Résumé

We study the Fredholm property of regular hypoelliptic operators with special variable coefficients. In this paper, necessary and sufficient conditions are obtained for a priori estimates for differential operators acting in multianisotropic Sobolev spaces. Fredholm criteria are obtained for a wide class of regular hypoelliptic operators in multianisotropic weighted spaces in $\mathbb{R}^n$.

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