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<p>The Fredholm property of regular hypoelliptic operators with special variable coefficients is studied.For this class of operators, a priori estimates are obtained and a Fredholm criterion is established in multianisotropic weighted Sobolev spaces on the whole <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$ {𝕉}^{n} $</EquationSource> </InlineEquation>.</p>

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On the Fredholm Solvability of a Class of Hypoelliptic Operators with Variable Coefficients

  • 期刊论文

  • 发表日期：

    2026年3月28日

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  • A. G. Tumanyan

摘要

The Fredholm property of regular hypoelliptic operators with special variable coefficients is studied.For this class of operators, a priori estimates are obtained and a Fredholm criterion is established in multianisotropic weighted Sobolev spaces on the whole $ {𝕉}^{n} $ .