Abstract
Compactness of arbitrary-order Sobolev type embeddings for traces of n-dimensional functions on lower dimensional subspaces is investigated. Sobolev spaces built upon any rearrangement-invariant norm are allowed. In particular, we characterize compactness of trace embeddings for classical Sobolev, Lorentz–Sobolev and Orlicz–Sobolev type spaces.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have