engleski

Bounded operators on mixed-norm Lebesgue spaces

Mixed-norm Lebesgue spaces found their place in the study of some questions in the theory of partial differential equations, as it can be seen from recent interest in continuity of certain classes of pseudodifferential operators on these spaces. We present a general framework for dealing with continuity of linear operators on these spaces. This allows us to prove the boundedness of a large class of pseudodifferential operators and also the boundedness of integral operators on mixed-norm Lebesgue spaces.

bounded operators ; mixed-norm Lebesgue spaces

nije evidentirano