The monograph gives a detailed exposition of the theory of general elliptic operators (scalar
and matrix) and elliptic boundary value problems in Hilbert scales of Hörmander function …

Until now, no book has systematically presented the recently developed concept of
envelopes in function spaces. Envelopes are relatively simple tools for the study of classical …

The paper gives a detailed survey of recent results on elliptic problems in Hilbert spaces of
generalized smoothness. The latter are the isotropic Hörmander spaces $ H^{s,\varphi}:= B …

Some recent developments in the theory of function spaces involving differences Page 1 Some
recent developments in the theory of function spaces involving differences Dorothee D …

In this paper we give a thorough study of Lipschitz spaces. We obtain the following new
results:(i) Sharp Jawerth-Franke-type embeddings between the Besov and Lipschitz spaces …

In this paper, the authors prove some Franke–Jawerth embedding for the Besov-type spaces
B p, qs, τ (R n) and the Triebel–Lizorkin-type spaces F p, qs, τ (R n). By using some limiting …

In this article, the authors first establish the pointwise characterizations of Besov and Triebel—
Lizorkin spaces with generalized smoothness on ℝ n via the Hajłasz gradient sequences …

We want to recover continuous functions on the sphere S d− 1 using only their function
values. We obtain the asymptotic orders of the sampling numbers and the linear sampling …

We introduce Besov spaces with general smoothness. These spaces unify and generalize
the classical Besov spaces. We establish the ϕ-transform characterization of these spaces in …

We generalize here the notion of interpolation space of given exponent by replacing this
exponent with Boyd functions. In particular, this approach leads to the usual interpolation …