Higher-order Sobolev embeddings into spaces of Campanato and Morrey type
Functional Analysis
2024-04-16 v1
Abstract
Necessary and sufficient conditions are offered for Sobolev type spaces built on rearrangement-invariant spaces to be continuously embedded into (generalized) Campanato and Morrey spaces on open subsets of the -dimensional Euclidean space. As a consequence, the optimal target and domain spaces in the relevant embeddings are identified. Our general criteria are implemented to derive sharp embeddings in the class of Orlicz-Sobolev spaces.
Keywords
Cite
@article{arxiv.2404.09702,
title = {Higher-order Sobolev embeddings into spaces of Campanato and Morrey type},
author = {Paola Cavaliere and Andrea Cianchi and Luboš Pick and Lenka Slavíková},
journal= {arXiv preprint arXiv:2404.09702},
year = {2024}
}