A priori estimates and Fredholm criteria for a class of regular hypoelliptic operators
Matematičeskie trudy, Tome 25 (2022) no. 2, pp. 220-240
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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 $\mathbb{R}^n$.
@article{MT_2022_25_2_a9,
author = {A. G. Tumanyan},
title = {A priori estimates and {Fredholm} criteria for a class of regular hypoelliptic operators},
journal = {Matemati\v{c}eskie trudy},
pages = {220--240},
publisher = {mathdoc},
volume = {25},
number = {2},
year = {2022},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MT_2022_25_2_a9/}
}
A. G. Tumanyan. A priori estimates and Fredholm criteria for a class of regular hypoelliptic operators. Matematičeskie trudy, Tome 25 (2022) no. 2, pp. 220-240. http://geodesic.mathdoc.fr/item/MT_2022_25_2_a9/