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<p>In this paper, we prove a boundedness theorem for one class of pseudo-differential equations with degeneration. We consider a new class of variable symbols depending on a complex parameter. Pseudo-differential operators are constructed by a special integral transformation. The boundedness theorem for these operators is proved in special weighted Sobolev-type spaces.</p>

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BOUNDEDNESS THEOREM FOR ONE CLASS OF PSEUDO-DIFFERENTIAL EQUATIONS WITH DEGENERATION

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • A. D. Baev,
  • A. A. Babaitsev,
  • V. D. Kharchenko

摘要

In this paper, we prove a boundedness theorem for one class of pseudo-differential equations with degeneration. We consider a new class of variable symbols depending on a complex parameter. Pseudo-differential operators are constructed by a special integral transformation. The boundedness theorem for these operators is proved in special weighted Sobolev-type spaces.