Zhen Liu

collaborators

3 papers

math-ph2024

Generalized vector potential and Trace Theorem for Lipschitz domains

Zhen Liu, Jinbiao Wu

The vector potential is a fundamental concept widely applied across various fields. This paper presents an existence theorem of a vector potential for divergence-free functions in…

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

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…