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math.CA2025
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.AP2025
On Hardy-Littlewood-Sobolev estimates for degenerate Laplacians
Pascal Auscher, Khalid Baadi
We establish norm inequalities for fractional powers of degenerate Laplacians, with degeneracy being determined by weights in the Muckenhoupt class , accompanied…