In this article the authors study complex interpolation of Sobolev-Morrey spaces and their
generalizations, Lizorkin-Triebel-Morrey spaces. Both scales are considered on bounded …

We introduce truncated Besov and Triebel–Lizorkin function spaces and study their main
properties: embeddings, interpolation, duality, lifting, traces. These new scales allow us to …

We study unboundedness of smoothness Morrey spaces on bounded domains Ω⊂ R n in
terms of growth envelopes. It turns out that in this situation the growth envelope function is …

In this paper, we discuss the existing relations between the Boyd functions and the
admissible sequences, with a particular interest to the Boyd indices. We introduce several …

The paper contains a survey of the results obtained during the last ten years in the theory of
elliptic boundary problems in H\" ormander function spaces, developed by the authors, and …

The research monograph expounds the foundation of a new theory of parabolic initial-
boundary-value problems in scales of generalized anisotropic Sobolev spaces. These …

In his doctoral thesis the author studies the properties of Triebel-Lizorkin-Morrey spaces and
Besov-Morrey spaces. For that purpose in a first step we prove characterizations in terms of …

We introduce and investigate classes of normed or quasinormed distribution spaces of
generalized smoothness that can be obtained by various interpolation methods applied to …

In this paper, we study the smoothness of restrictions of Besov functions. It is known that for
any f∈ B p, qs (RN) with q≤ p we have f (⋅, y)∈ B p, qs (R d) for ae y∈ RN− d. We prove …

We present a survey of the results obtained for the last ten years in the theory of elliptic
boundary-value problems in the Hörmander function spaces developed by the authors, and …