On properties of functions from Lizorkin–Triebel–Morrey-type spaces
- Authors: Najafov A.M.1, Gasimova A.M.2
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Affiliations:
- Azerbaijan University of Architecture and Construction, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
- Sumgait State University
- Issue: Vol 239, No 1 (2019)
- Pages: 51-61
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242624
- DOI: https://doi.org/10.1007/s10958-019-04287-w
- ID: 242624
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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.
About the authors
Alik M. Najafov
Azerbaijan University of Architecture and Construction, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
Author for correspondence.
Email: aliknajafov@gmail.com
Azerbaijan, Baku
Azizgul M. Gasimova
Sumgait State University
Email: aliknajafov@gmail.com
Azerbaijan, Sumgait