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.FA2018
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…
math.FA2015
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 $\…