5 papers
Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator
Helena F. Goncalves, Dorothee D. Haroske, Leszek Skrzypczak
In this paper, we study limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces, and $id_τ: F_{p_1,…
Non-smooth atomic decomposition of variable 2-microlocal Besov-type and Triebel-Lizorkin-type spaces
Helena F. Gonçalves
In this paper we provide non-smooth atomic decompositions of 2-microlocal Besov-type and Triebel-Lizorkin-type spaces with variable exponents $B^{\mathrm{\boldsymbolω}, ϕ}_{p(\cdot…
Compact embeddings in Besov-type and Triebel-Lizorkin-type Spaces on bounded domains
Helena F. Gonçalves, Dorothee D. Haroske, Leszek Skrzypczak
We study embeddings of Besov-type and Triebel-Lizorkin-type spaces, and $id_τ: {F}_{p_1,q_1}^{s_1,τ_1}…
Franke-Jawerth embeddings for Besov and Triebel-Lizorkin spaces with variable exponents
Helena F. Gonçalves, Henning Kempka, Jan Vybíral
The classical Jawerth and Franke embeddings $$ F^{s_0}_{p_0,q}({\mathbb R}^n)\hookrightarrow B^{s_1}_{p_1,p_0}({\mathbb R}^n) \quad \mbox{and} \quad B^{s_0}_{p_0,p_1}({\mathbb R}^n…
Intrinsic atomic characterization of 2-microlocal spaces with variable exponents on domains
Helena F. Gonçalves, Henning Kempka
We provide an intrinsic atomic characterization for 2-microlocal Besov and Triebel-Lizorkin spaces with variable integrability on domains, $B_{\p,\q}^{\bm{w}}(Ω)$ and $F_{\p,\q}^{\…