Marc Hovemann

collaborators

4 papers

math.FA2022

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 $V_{p, j}$ of…

math.FA2020

Besov-Morrey spaces and differences (extended version)

Marc Hovemann

We study the Besov-Morrey spaces $N_{u, p, q}^{s} (R^{d})$ and show that under certain conditions on the parameters these spaces can be characterized in terms of…

math.FA2020

Truncation in Besov-Morrey and Triebel-Lizorkin-Morrey spaces

Marc Hovemann

We will prove that under certain conditions on the parameters the operators $T^{+} f = max (f, 0)$ and $T f = ∣ f ∣$ are bounded mappings on the Triebel-Lizorkin-Morrey and Besov-Morr…

math.CA2020

Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains

Ciqiang Zhuo, Marc Hovemann, Winfried Sickel

In this article the authors study complex interpolation of Sobolev-Morrey spaces and their generalizations, Lizorkin-Triebel-Morrey spaces. Both scales are considered on bounded do…