A. M. Najafov, “On some differential properties of small small Sobolev–Morrey spaces”, Eurasian Math. J., 2021, Volume 12, Number 1,Pages <nobr>57

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On some differential properties of small small Sobolev–Morrey spaces

A. M. Najafov^ab

^a Azerbaijan University of Architecture and Construction
^b Institute of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan, 9, B.Vahabzade St AZ1141, Baku, Azerbaijan

Abstract: In the paper small small Sobolev–Morrey spaces are constructed. Differential and differential-difference properties of functions belonging to the constructed space are studied by the integral representation method.

Keywords and phrases: small small Lebesgue–Morrey and Sobolev–Morrey spaces, embedding theorem, Hölder condition.

MSC: 46E30, 35A31

Received: 03.09.2019

Language: English

DOI: 10.32523/2077-9879-2021-12-1-57-67