On a new characterisation of Besov spaces with negative exponents

Moshe Marcus (1) , Laurent Veron (2)

1 Department of Mathematics
2 LMPT - Laboratoire de Mathématiques et Physique Théorique

We give an alternative proof of the characterization of Besov spaces with negative exponents by means of integrability of harmonic functions with a weight depending on the distance to the boundary.

Mots clés: Harmonic functions; analytic semigroups; interpolation functors

Domaines: Analyse fonctionnelle [math.FA]

Moshe Marcus, Laurent Veron. On a new characterisation of Besov spaces with negative exponents. 2009. ⟨hal-00382696⟩