3 papers
math.CA2026
A new scale of function spaces characterizing homogeneous Besov spaces
Pascal Auscher, Sebastian Bechtel, Luca Haardt
We introduce and study a new scale of function spaces that characterize the homogeneous Besov spaces , hence completing earlier work by Ullrich. These new…
math.CA2026
A coherent theory of tent spaces and homogeneous Triebel-Lizorkin spaces
Luca Haardt
We introduce and systematically investigate a scale of tent spaces that characterizes homogeneous Triebel-Lizorkin spaces . These spaces generalize the cl…
math.AP2024
On Kato's Square Root Property for the Generalized Stokes Operator
Luca Haardt, Patrick Tolksdorf
We establish the Kato square root property for the generalized Stokes operator on with bounded measurable coefficients. More precisely, we identify the domain of the…