3 papers
math.FA2019
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…
math.FA2012
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…
math.FA2010
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…