8 papers · 1 filter
Hölder Inequalities for Besov-Morrey and Triebel-Lizorkin-Morrey Spaces
Marc Hovemann
In this paper we prove Hölder inequalities for the Besov-Morrey spaces and the Triebel-Lizorkin-Morrey spaces $ \mathcal{E}^{s}_{u,p,q}(…
On the boundedness of dilation operators in the context of Triebel-Lizorkin-Morrey spaces
Marc Hovemann, Markus Weimar
In this paper we study the behavior of dilation operators with in the context of Triebel-Lizorkin-Morrey spaces $\mathcal{E}^{s}_{u,p,q…
Oscillations and differences in Besov-Morrey and Besov-type spaces
Marc Hovemann, Markus Weimar
In this paper we investigate Besov-Morrey spaces and Besov-type spaces of positive smoothness defined on Lipschitz domains $Ω\subset…
Quarklet Characterizations for bivariate Bessel-Potential Spaces on the Unit Square via Tensor Products
Marc Hovemann
In this paper we deduce new characterizations for bivariate Bessel-Potential spaces defined on the unit square via B-spline quarklets. For that purpose in a first step we use univa…
Oscillations and differences in Triebel-Lizorkin-Morrey spaces
Marc Hovemann, Markus Weimar
In this paper we are concerned with Triebel-Lizorkin-Morrey spaces of positive smoothness defined on (special or bounded) Lipschitz domains $Ω\subs…
B-Spline Quarklets and Biorthogonal Multiwavelets
Marc Hovemann, Anne Kopsch, Thorsten Raasch +1
We show that B-spline quarks and the associated quarklets fit into the theory of biorthogonal multiwavelets. Quark vectors are used to define sequences of subspaces of…