5 papers · 1 filter
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…
Variable exponent Besov-Morrey spaces
Alexandre Almeida, António Caetano
In this paper we introduce Besov-Morrey spaces with all indices variable and study some fundamental properties. This includes a description in terms of Peetre maximal functions and…
On generalized Besov and Triebel-Lizorkin spaces of regular distributions
António Caetano, Hans-Gerd Leopold
We establish conditions on the parameters which are both necessary and sufficient in order that Besov and Triebel-Lizorkin spaces of generalized smoothness contain only regular dis…
On the Hausdorff dimension of continuous functions belonging to Hölder and Besov spaces on fractal d-sets
António Caetano, Abel Carvalho
The Hausdorff dimension of the graphs of the functions in Hölder and Besov spaces (in this case with integrability p \geq 1) on fractal d-sets is studied. Denoting by s \in (0,1] t…