Non-collapsing condition and Sobolev embeddings for Haj{\l}asz-Besov spaces
Functional Analysis
2022-04-22 v1
Abstract
In this paper we will focus on understanding the relation between Sobolev embedding theorems for Haj{\l}asz-Besov spaces defined on a doubling metric measure space and the non-collapsing condition of the measure, i.e. We will also obtain embedding results for Haj{\l}asz-Besov spaces whose modulus of smoothness is generated by a rearrangement invariant quasi-norm.
Keywords
Cite
@article{arxiv.2204.09990,
title = {Non-collapsing condition and Sobolev embeddings for Haj{\l}asz-Besov spaces},
author = {Joaquim Martin and Walter A. Ortiz},
journal= {arXiv preprint arXiv:2204.09990},
year = {2022}
}