论文标题
混合符号Lebesgue空间上具有非平滑符号的假差异操作员的连续性
Continuity of pseudodifferential operators with nonsmooth symbols on mixed-norm Lebesgue spaces
论文作者
论文摘要
混合符号Lebesgue空间在研究部分微分方程理论中的一些问题中找到了自己的位置，这可以从对某些类别的伪差异操作员在这些空间上的连续性的最新兴趣中可以看出。在本文中，我们在非平滑符号的伪数计算中使用了一些最新进展，以证明具有这些符号在混合符号Lebesgue空间上的伪差算子的界限。
Mixed-norm Lebesgue spaces found their place in the study of some questions in the theory of partial differential equations, as can be seen from recent interest in the continuity of certain classes of pseudodifferential operators on these spaces. In this paper, we use some recent advances in the pseudodifferential calculus for nonsmooth symbols to prove the boundedness of pseudodifferential operators with such symbols on mixed-norm Lebesgue spaces.
