Variable Besov-type spaces
Functional Analysis
2021-04-13 v2
Abstract
In this paper we introduce Besov-type spaces with variable smoothness and integrability. We show that these spaces are characterized by the -transforms in appropriate sequence spaces and we obtain atomic decompositions for these spaces. Moreover the Sobolev embeddings for these function spaces are obtained.
Cite
@article{arxiv.2101.06670,
title = {Variable Besov-type spaces},
author = {Douadi Drihem and Zeghad Zouheyr},
journal= {arXiv preprint arXiv:2101.06670},
year = {2021}
}
Comments
Some mistakes are corrected. arXiv admin note: substantial text overlap with arXiv:1508.05980, arXiv:1503.04011, arXiv:1601.00309