Elliptic Operators in a Refined Scale of Functional Spaces

• Date: 2005
• Main Authors: Mikhailets, V. A., Murach, A. A., Михайлец, В. А., Мурач, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3635
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the theory of elliptic boundary-value problems in the refined two-sided scale of the Hormander spaces $H^{s, \varphi}$, where $s \in R,\quad \varphi$ is a functional parameter slowly varying on $+\infty$. In the case of the Sobolev spaces $H^{s}$, the function $\varphi(|\xi|) \equiv 1$. We...