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Matematicheskie Trudy, 2022, Volume 25, Number 2, Pages 220–240
DOI: https://doi.org/10.33048/mattrudy.2022.25.210 (Mi mt676) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

A. G. Tumanyanab

a Russian–Armenian University, Erevan, 0051 Armenia
b Siemens Digital Industries Software, Erevan, 0038 Armenia
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DOI: https://doi.org/10.33048/mattrudy.2022.25.210
Abstract: 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 $\mathbb{R}^n$.
Key words: Fredholm operator, regular hypoelliptic operator, a priori estimate, regularizer, multianisotropic weighted space.
Received: 28.04.2022
Revised: 22.08.2022
Accepted: 02.11.2022
English version:
Siberian Advances in Mathematics, 2023, Volume 33, Issue 2, Pages 151–164
DOI: https://doi.org/10.1134/S1055134423020049
Document Type: Article
UDC: 517.956
Language: Russian
Citation: A. G. Tumanyan, “A priori estimates and Fredholm criteria for a class of regular hypoelliptic operators”, Mat. Tr., 25:2 (2022), 220–240; Siberian Adv. Math., 33:2 (2023), 151–164
Citation in format AMSBIB
\Bibitem{Tum22}
\by A.~G.~Tumanyan
\paper A priori estimates and Fredholm criteria for a class of regular hypoelliptic operators
\jour Mat. Tr.
\yr 2022
\vol 25
\issue 2
\pages 220--240
\mathnet{http://mi.mathnet.ru/mt676}
\transl
\jour Siberian Adv. Math.
\yr 2023
\vol 33
\issue 2
\pages 151--164
\crossref{https://doi.org/10.1134/S1055134423020049}
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