@article{Benmahmoud_Drihem_2023, title={Continuous characterization of the Besov spaces of variable smoothness and integrability}, volume={74}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/6578}, DOI={10.37863/umzh.v74i12.6578}, abstractNote={<p>UDC 517.9</p> <p>We obtain new equivalent quasinorms of the Besov spaces of&nbsp;variable smoothness and integrability.&nbsp;&nbsp;Our main tools are the continuous version of the Calderón reproducing formula, maximal inequalities, and the variable-exponent technique; however, allowing the parameters to vary from point to point leads to additional difficulties which, in general, can be overcome by imposing regularity assumptions on these exponents.</p&gt;}, number={12}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Benmahmoud, S. and Drihem, D.}, year={2023}, month={Jan.}, pages={1601 - 1624} }