@Article{JMS-52-2,
author = {Drihem, Douadi},
title = {Variable Besov Spaces: Continuous Version},
journal = {Journal of Mathematical Study},
year = {2019},
volume = {52},
number = {2},
pages = {178--226},
abstract = {<p style="text-align: justify;">We introduce Besov spaces with variable smoothness and integrability by
using the continuous version of Calderón reproducing formula. We show that our space is well-defined, i.e., independent of the choice of basis functions. We characterize
these function spaces by so-called Peetre maximal functions and we obtain the Sobolev
embeddings for these function spaces. We use these results to prove the atomic decomposition for these spaces.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v52n2.19.05},
url = {https://global-sci.com/article/87723/variable-besov-spaces-continuous-version}
}