Abstract
We have introduced new functional spaces of the Lizorkin–Triebel–Morrey type, and a Sobolev-type inequality is proved. We have also shown that the generalized derivatives of functions from this spaces satisfy the generalized Hölder condition.
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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 15, No. 2, pp. 237–250, January–March, 2018.
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Najafov, A.M., Gasimova, A.M. On properties of functions from Lizorkin–Triebel–Morrey-type spaces. J Math Sci 239, 51–61 (2019). https://doi.org/10.1007/s10958-019-04287-w
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DOI: https://doi.org/10.1007/s10958-019-04287-w