Continuous characterization of Besov spaces of variable smoothness and integrability
Functional Analysis
2021-10-04 v3
Abstract
In this paper the authors obtain a new equivalent norms of the Besov spaces of variable smoothness and integrability. Our main tools are the continuous version of Calderon reproducing formula, maximal inequalities and variable exponent technique, but allowing the parameters to vary from point to point will raise extra difficulties which, in general, are overcome by imposing regularity assumptions on these exponents.
Keywords
Cite
@article{arxiv.1810.04795,
title = {Continuous characterization of Besov spaces of variable smoothness and integrability},
author = {Douadi Drihem and Salah Ben Mahmoud},
journal= {arXiv preprint arXiv:1810.04795},
year = {2021}
}
Comments
20 pages, we delete Lemma 2.6, arXiv admin note: text overlap with arXiv:1601.00309