Laboratoire de Mathématiques d'Orsay

A New Scale of Function Spaces Characterizing Homogeneous Besov Spaces

Abstract We introduce and study a new scale of function spaces that characterize the homogeneous Besov spaces $$\dot{\text {B}}^{\beta }_{p,q}$$ B ˙ p , q β , hence completing earlier work by Ullrich. These new spaces include the ones introduced by Barton and Mayboroda, and syste...

Metric and Levi-Civita Connections on Regular Hom-Lie-Rinehart Algebras

In this paper, we study regular Hom-Lie-Rinehart algebras and extend several classical geometric notions to this framework. In particular, we develop the theory of pseudo-Riemannian metrics, connections, curvature tensors, and torsion tensors in the setting of regular Hom-Lie-Rin...