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We establish normal solvability and a priori estimates for regular hypoelliptic operators with special variable coefficients, acting in multianisotropic Sobolev spaces in \(\mathbb {R}^n.\) We obtain Fredholm criteria for certain classes of regular hypoelliptic operators in various scales of weighted multianisotropic spaces.

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Normal Solvability and Fredholm Properties for Regular Hypoelliptic Operators

  • 会议论文

  • 发表日期：

    2025年

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  • Ani Tumanyan

摘要

We establish normal solvability and a priori estimates for regular hypoelliptic operators with special variable coefficients, acting in multianisotropic Sobolev spaces in \(\mathbb {R}^n.\) We obtain Fredholm criteria for certain classes of regular hypoelliptic operators in various scales of weighted multianisotropic spaces.