On properties of functions from Lizorkin-Triebel-Morrey type spaces

• Published in: Український математичний вісник
• Date: 2018
• ISSN: 1810-3200
• Main Authors: Najafov, A.M., Gasimova, A.M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169400
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On properties of functions from Lizorkin-Triebel-Morrey type spaces / A.M. Najafov, A.M. Gasimova // Український математичний вісник. — 2018. — Т. 15, № 2. — С. 237-250. — Бібліогр.: 17 назв. — англ.

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 Holder condition.