8 citations · 15 across the 6 of their papers we have counts for
10 papers
Decompositions with atoms and molecules for variable exponent Triebel-Lizorkin-Morrey spaces
António Caetano, Henning Kempka
We continue the study of the variable exponent Morreyfied Triebel-Lizorkin spaces introduced in a previous paper. Here we give characterizations by means of atoms and molecules. We…
Variable exponent Triebel-Lizorkin-Morrey spaces
António Caetano, Henning Kempka
We introduce variable exponent versions of Morreyfied Triebel-Lizorkin spaces. To that end, we prove an important convolution inequality which is a replacement for the Hardy-Little…
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 characterization and the extension operator in variable exponent function spaces on special Lipschitz domains
Henning Kempka
We study 2-microlocal Besov and Triebel-Lizorkin spaces with variable exponents on special Lipschitz domains. These spaces are as usual defined by restriction of the corresponding…
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}^{\…
Volumes of unit balls of mixed sequence spaces
Henning Kempka, Jan Vybíral
The volume of the unit ball of the Lebesgue sequence space is very well known since the times of Dirichlet. We calculate the volume of the unit ball in the mixed norm $\…
General coorbit space theory for quasi-Banach spaces and inhomogeneous function spaces with variable smoothness and integrability
Henning Kempka, Martin Schäfer, Tino Ullrich
In this paper we propose a general coorbit space theory suitable to define coorbits of quasi-Banach spaces using an abstract continuous frame, indexed by a locally compact Hausdorf…
Lorentz spaces with variable exponents
Henning Kempka, Jan Vybíral
We introduce Lorentz spaces and with variable exponents. We prove several basic properties of these spaces including embeddings…
Spaces of variable smoothness and integrability: Characterizations by local means and ball means of differences
Henning Kempka, Jan Vybiral
We study the spaces of Besov and Triebel-Lizorkin type with variable smoothness and integrability as introduced recently by Almeida & Hästö and Diening, Hästö & Roudenko. Both scal…
A note on the spaces of variable integrability and summability of Almeida and Hästö
Henning Kempka, Jan Vybiral
We address an open problem posed recently by Almeida and Hästö in \cite{AlHa10}. They defined the spaces $\ellqp$ of variable integrability and summability and showed that $\|\cdot…