Dorothee D. Haroske

collaborators

4 papers

math.FA2023

Embeddings of generalised Morrey smoothness spaces

Dorothee D. Haroske, Zhen Liu, Susana D. Moura +1

We study embeddings between generalised Triebel-Lizorkin-Morrey spaces $E_{φ, p, q}^{s} (R^{d})$ and within the scales of further generalised Morrey smoothness spac…

math.FA2023

Mapping properties of Fourier transforms, revisited

Dorothee D. Haroske, Leszek Skrzypczak, Hans Triebel

The paper deals with continuous and compact mappings generated by the Fourier transform between distinguished Besov spaces $B_{p}^{s} (R^{n}) = B_{p, p}^{s} (R^{n})$ , $1\le p…

math.FA2023

On a bridge connecting Lebesgue and Morrey spaces in view of their growth properties

Dorothee D. Haroske, Susana D. Moura, Leszek Skrzypczak

We study unboundedness properties of functions belonging to generalised Morrey spaces $M_{φ, p} (R^{d})$ and generalised Besov-Morrey spaces ${\mathcal N}^{s}_{φ,p…

math.FA2023

Generalized Besov-type and Triebel-Lizorkin-type spaces

Dorothee D. Haroske, Zhen Liu

Let $0 < p < \infty$ , $0 < q \leq \infty$ , and $s \in R$ . We introduce a new type of generalized Besov-type spaces $B_{p, q}^{s, φ} (R^{d})$ and generalized Triebel-Lizorkin-typ…