In the half-space, we obtain a coercive a priori estimation of solutions to the boundary value problem for a degenerate pseudodifferential equation. The left-hand side of the equation is the sum of a pseudo-differential operator with degeneracy, constructed by a special integral transform, and the differentiation operator. The a priori estimation is obtained in special weight spaces of Sobolev type, the norms in which are constructed with the use of a special integral transformation.

中文翻译：

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具有退化的拟微分方程边界问题解的先验估计

在半空间中，我们获得了退化伪微分方程边值问题解的强制先验估计。等式的左侧是由特殊积分变换构造的具有简并性的伪微分算子与微分算子的总和。先验估计是在 Sobolev 类型的特殊权重空间中获得的，其中的范数是使用特殊的积分变换构建的。