AMS eBooks: Memoirs of the American Mathematical Society Skip to Main Content
American Mathematical Society American Mathematical Society MathSciNet Bookstore …

In this paper we present a comprehensive treatment of function spaces with logarithmic
smoothness (Besov, Sobolev, Triebel-Lizorkin). We establish the following results: Sharp …

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 …

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 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 …

In this paper, we consider the question of smoothness of slowly varying functions satisfying
the modern definition that, in the last two decades, gained prevalence in the applications …

We study necessary and sufficient conditions for embeddings of Besov spaces of
generalized smoothness B p, q σ, N (R n) into generalized Hölder spaces Λ∞, r μ (⋅)(R n) …

We investigate the asymptotic behavior of the entropy numbers of Besov classes BB_ p, θ^
Ω\left (S^ d-1\right) of generalized smoothness on the sphere in L_q\left (S^ d-1\right) for 1≤ …

We study necessary and sufficient conditions for embeddings of Besov and Triebel-Lizorkin
spaces of generalized smoothness B^(n/p,Ψ)_p,q(R^n) and F^(n/p,Ψ)_p,q(R^n) …

We introduce the Besov spaces BpθΩ (Sd− 1) of generalized smoothness on the sphere
Sd− 1, and obtain the representation theorem, an embedding theorem, and the …