2022/05/19 by Ivan Ivec, Ivec, Ivan
Mathematics · #Mathematical Analysis and Transform Methods #Differential Equations and Boundary Problems #Advanced Mathematical Physics Problems
paper · pdf · doi:10.48550/arxiv.2205.09631
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.